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Simplifying -11(x + -5) + -9(x + -3) + -3(x + -11) = -5(x + -8) + -7(x + -10) Reorder the terms: -11(-5 + x) + -9(x + -3) + -3(x + -11) = -5(x + -8) + -7(x + -10) (-5 * -11 + x * -11) + -9(x + -3) + -3(x + -11) = -5(x + -8) + -7(x + -10) (55 + -11x) + -9(x + -3) + -3(x + -11) = -5(x + -8) + -7(x + -10) Reorder the terms: 55 + -11x + -9(-3 + x) + -3(x + -11) = -5(x + -8) + -7(x + -10) 55 + -11x + (-3 * -9 + x * -9) + -3(x + -11) = -5(x + -8) + -7(x + -10) 55 + -11x + (27 + -9x) + -3(x + -11) = -5(x + -8) + -7(x + -10) Reorder the terms: 55 + -11x + 27 + -9x + -3(-11 + x) = -5(x + -8) + -7(x + -10) 55 + -11x + 27 + -9x + (-11 * -3 + x * -3) = -5(x + -8) + -7(x + -10) 55 + -11x + 27 + -9x + (33 + -3x) = -5(x + -8) + -7(x + -10) Reorder the terms: 55 + 27 + 33 + -11x + -9x + -3x = -5(x + -8) + -7(x + -10) Combine like terms: 55 + 27 = 82 82 + 33 + -11x + -9x + -3x = -5(x + -8) + -7(x + -10) Combine like terms: 82 + 33 = 115 115 + -11x + -9x + -3x = -5(x + -8) + -7(x + -10) Combine like terms: -11x + -9x = -20x 115 + -20x + -3x = -5(x + -8) + -7(x + -10) Combine like terms: -20x + -3x = -23x 115 + -23x = -5(x + -8) + -7(x + -10) Reorder the terms: 115 + -23x = -5(-8 + x) + -7(x + -10) 115 + -23x = (-8 * -5 + x * -5) + -7(x + -10) 115 + -23x = (40 + -5x) + -7(x + -10) Reorder the terms: 115 + -23x = 40 + -5x + -7(-10 + x) 115 + -23x = 40 + -5x + (-10 * -7 + x * -7) 115 + -23x = 40 + -5x + (70 + -7x) Reorder the terms: 115 + -23x = 40 + 70 + -5x + -7x Combine like terms: 40 + 70 = 110 115 + -23x = 110 + -5x + -7x Combine like terms: -5x + -7x = -12x 115 + -23x = 110 + -12x Solving 115 + -23x = 110 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 115 + -23x + 12x = 110 + -12x + 12x Combine like terms: -23x + 12x = -11x 115 + -11x = 110 + -12x + 12x Combine like terms: -12x + 12x = 0 115 + -11x = 110 + 0 115 + -11x = 110 Add '-115' to each side of the equation. 115 + -115 + -11x = 110 + -115 Combine like terms: 115 + -115 = 0 0 + -11x = 110 + -115 -11x = 110 + -115 Combine like terms: 110 + -115 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545
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