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Simplifying -2(3x + -8) + -1(5x + -7) = -5(2x + -8) + 3(x + -15) Reorder the terms: -2(-8 + 3x) + -1(5x + -7) = -5(2x + -8) + 3(x + -15) (-8 * -2 + 3x * -2) + -1(5x + -7) = -5(2x + -8) + 3(x + -15) (16 + -6x) + -1(5x + -7) = -5(2x + -8) + 3(x + -15) Reorder the terms: 16 + -6x + -1(-7 + 5x) = -5(2x + -8) + 3(x + -15) 16 + -6x + (-7 * -1 + 5x * -1) = -5(2x + -8) + 3(x + -15) 16 + -6x + (7 + -5x) = -5(2x + -8) + 3(x + -15) Reorder the terms: 16 + 7 + -6x + -5x = -5(2x + -8) + 3(x + -15) Combine like terms: 16 + 7 = 23 23 + -6x + -5x = -5(2x + -8) + 3(x + -15) Combine like terms: -6x + -5x = -11x 23 + -11x = -5(2x + -8) + 3(x + -15) Reorder the terms: 23 + -11x = -5(-8 + 2x) + 3(x + -15) 23 + -11x = (-8 * -5 + 2x * -5) + 3(x + -15) 23 + -11x = (40 + -10x) + 3(x + -15) Reorder the terms: 23 + -11x = 40 + -10x + 3(-15 + x) 23 + -11x = 40 + -10x + (-15 * 3 + x * 3) 23 + -11x = 40 + -10x + (-45 + 3x) Reorder the terms: 23 + -11x = 40 + -45 + -10x + 3x Combine like terms: 40 + -45 = -5 23 + -11x = -5 + -10x + 3x Combine like terms: -10x + 3x = -7x 23 + -11x = -5 + -7x Solving 23 + -11x = -5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 23 + -11x + 7x = -5 + -7x + 7x Combine like terms: -11x + 7x = -4x 23 + -4x = -5 + -7x + 7x Combine like terms: -7x + 7x = 0 23 + -4x = -5 + 0 23 + -4x = -5 Add '-23' to each side of the equation. 23 + -23 + -4x = -5 + -23 Combine like terms: 23 + -23 = 0 0 + -4x = -5 + -23 -4x = -5 + -23 Combine like terms: -5 + -23 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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