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Simplifying 3x + -2(2x + -3) + 2 = -3(2x + 4) Reorder the terms: 3x + -2(-3 + 2x) + 2 = -3(2x + 4) 3x + (-3 * -2 + 2x * -2) + 2 = -3(2x + 4) 3x + (6 + -4x) + 2 = -3(2x + 4) Reorder the terms: 6 + 2 + 3x + -4x = -3(2x + 4) Combine like terms: 6 + 2 = 8 8 + 3x + -4x = -3(2x + 4) Combine like terms: 3x + -4x = -1x 8 + -1x = -3(2x + 4) Reorder the terms: 8 + -1x = -3(4 + 2x) 8 + -1x = (4 * -3 + 2x * -3) 8 + -1x = (-12 + -6x) Solving 8 + -1x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -1x + 6x = -12 + -6x + 6x Combine like terms: -1x + 6x = 5x 8 + 5x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 5x = -12 + 0 8 + 5x = -12 Add '-8' to each side of the equation. 8 + -8 + 5x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -12 + -8 5x = -12 + -8 Combine like terms: -12 + -8 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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