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Simplifying x + -7(2x + -3) = 2(5x + -2) + -3(4x + 9) Reorder the terms: x + -7(-3 + 2x) = 2(5x + -2) + -3(4x + 9) x + (-3 * -7 + 2x * -7) = 2(5x + -2) + -3(4x + 9) x + (21 + -14x) = 2(5x + -2) + -3(4x + 9) Reorder the terms: 21 + x + -14x = 2(5x + -2) + -3(4x + 9) Combine like terms: x + -14x = -13x 21 + -13x = 2(5x + -2) + -3(4x + 9) Reorder the terms: 21 + -13x = 2(-2 + 5x) + -3(4x + 9) 21 + -13x = (-2 * 2 + 5x * 2) + -3(4x + 9) 21 + -13x = (-4 + 10x) + -3(4x + 9) Reorder the terms: 21 + -13x = -4 + 10x + -3(9 + 4x) 21 + -13x = -4 + 10x + (9 * -3 + 4x * -3) 21 + -13x = -4 + 10x + (-27 + -12x) Reorder the terms: 21 + -13x = -4 + -27 + 10x + -12x Combine like terms: -4 + -27 = -31 21 + -13x = -31 + 10x + -12x Combine like terms: 10x + -12x = -2x 21 + -13x = -31 + -2x Solving 21 + -13x = -31 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 21 + -13x + 2x = -31 + -2x + 2x Combine like terms: -13x + 2x = -11x 21 + -11x = -31 + -2x + 2x Combine like terms: -2x + 2x = 0 21 + -11x = -31 + 0 21 + -11x = -31 Add '-21' to each side of the equation. 21 + -21 + -11x = -31 + -21 Combine like terms: 21 + -21 = 0 0 + -11x = -31 + -21 -11x = -31 + -21 Combine like terms: -31 + -21 = -52 -11x = -52 Divide each side by '-11'. x = 4.727272727 Simplifying x = 4.727272727
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