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Simplifying (5x + -3) + -2(2x + -3) = 3(x + -1) + 2(4x + -7) Reorder the terms: (-3 + 5x) + -2(2x + -3) = 3(x + -1) + 2(4x + -7) Remove parenthesis around (-3 + 5x) -3 + 5x + -2(2x + -3) = 3(x + -1) + 2(4x + -7) Reorder the terms: -3 + 5x + -2(-3 + 2x) = 3(x + -1) + 2(4x + -7) -3 + 5x + (-3 * -2 + 2x * -2) = 3(x + -1) + 2(4x + -7) -3 + 5x + (6 + -4x) = 3(x + -1) + 2(4x + -7) Reorder the terms: -3 + 6 + 5x + -4x = 3(x + -1) + 2(4x + -7) Combine like terms: -3 + 6 = 3 3 + 5x + -4x = 3(x + -1) + 2(4x + -7) Combine like terms: 5x + -4x = 1x 3 + 1x = 3(x + -1) + 2(4x + -7) Reorder the terms: 3 + 1x = 3(-1 + x) + 2(4x + -7) 3 + 1x = (-1 * 3 + x * 3) + 2(4x + -7) 3 + 1x = (-3 + 3x) + 2(4x + -7) Reorder the terms: 3 + 1x = -3 + 3x + 2(-7 + 4x) 3 + 1x = -3 + 3x + (-7 * 2 + 4x * 2) 3 + 1x = -3 + 3x + (-14 + 8x) Reorder the terms: 3 + 1x = -3 + -14 + 3x + 8x Combine like terms: -3 + -14 = -17 3 + 1x = -17 + 3x + 8x Combine like terms: 3x + 8x = 11x 3 + 1x = -17 + 11x Solving 3 + 1x = -17 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 3 + 1x + -11x = -17 + 11x + -11x Combine like terms: 1x + -11x = -10x 3 + -10x = -17 + 11x + -11x Combine like terms: 11x + -11x = 0 3 + -10x = -17 + 0 3 + -10x = -17 Add '-3' to each side of the equation. 3 + -3 + -10x = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = -17 + -3 -10x = -17 + -3 Combine like terms: -17 + -3 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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