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Simplifying 4x + -3(x + -2) = 2(x + -1) Reorder the terms: 4x + -3(-2 + x) = 2(x + -1) 4x + (-2 * -3 + x * -3) = 2(x + -1) 4x + (6 + -3x) = 2(x + -1) Reorder the terms: 6 + 4x + -3x = 2(x + -1) Combine like terms: 4x + -3x = 1x 6 + 1x = 2(x + -1) Reorder the terms: 6 + 1x = 2(-1 + x) 6 + 1x = (-1 * 2 + x * 2) 6 + 1x = (-2 + 2x) Solving 6 + 1x = -2 + 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. 6 + 1x + -2x = -2 + 2x + -2x Combine like terms: 1x + -2x = -1x 6 + -1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1x = -2 + 0 6 + -1x = -2 Add '-6' to each side of the equation. 6 + -6 + -1x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -2 + -6 -1x = -2 + -6 Combine like terms: -2 + -6 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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