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Simplifying -3(x + -2) + -2(3x + -3) = 5(1 + -1x) + 3 Reorder the terms: -3(-2 + x) + -2(3x + -3) = 5(1 + -1x) + 3 (-2 * -3 + x * -3) + -2(3x + -3) = 5(1 + -1x) + 3 (6 + -3x) + -2(3x + -3) = 5(1 + -1x) + 3 Reorder the terms: 6 + -3x + -2(-3 + 3x) = 5(1 + -1x) + 3 6 + -3x + (-3 * -2 + 3x * -2) = 5(1 + -1x) + 3 6 + -3x + (6 + -6x) = 5(1 + -1x) + 3 Reorder the terms: 6 + 6 + -3x + -6x = 5(1 + -1x) + 3 Combine like terms: 6 + 6 = 12 12 + -3x + -6x = 5(1 + -1x) + 3 Combine like terms: -3x + -6x = -9x 12 + -9x = 5(1 + -1x) + 3 12 + -9x = (1 * 5 + -1x * 5) + 3 12 + -9x = (5 + -5x) + 3 Reorder the terms: 12 + -9x = 5 + 3 + -5x Combine like terms: 5 + 3 = 8 12 + -9x = 8 + -5x Solving 12 + -9x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -9x + 5x = 8 + -5x + 5x Combine like terms: -9x + 5x = -4x 12 + -4x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + -4x = 8 + 0 12 + -4x = 8 Add '-12' to each side of the equation. 12 + -12 + -4x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 8 + -12 -4x = 8 + -12 Combine like terms: 8 + -12 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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