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Simplifying 2x + -3(x + -6) = 2(x + 3) Reorder the terms: 2x + -3(-6 + x) = 2(x + 3) 2x + (-6 * -3 + x * -3) = 2(x + 3) 2x + (18 + -3x) = 2(x + 3) Reorder the terms: 18 + 2x + -3x = 2(x + 3) Combine like terms: 2x + -3x = -1x 18 + -1x = 2(x + 3) Reorder the terms: 18 + -1x = 2(3 + x) 18 + -1x = (3 * 2 + x * 2) 18 + -1x = (6 + 2x) Solving 18 + -1x = 6 + 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. 18 + -1x + -2x = 6 + 2x + -2x Combine like terms: -1x + -2x = -3x 18 + -3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -3x = 6 + 0 18 + -3x = 6 Add '-18' to each side of the equation. 18 + -18 + -3x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = 6 + -18 -3x = 6 + -18 Combine like terms: 6 + -18 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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