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