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Simplifying 2(x + -1) + 12 = 6(3 + x) Reorder the terms: 2(-1 + x) + 12 = 6(3 + x) (-1 * 2 + x * 2) + 12 = 6(3 + x) (-2 + 2x) + 12 = 6(3 + x) Reorder the terms: -2 + 12 + 2x = 6(3 + x) Combine like terms: -2 + 12 = 10 10 + 2x = 6(3 + x) 10 + 2x = (3 * 6 + x * 6) 10 + 2x = (18 + 6x) Solving 10 + 2x = 18 + 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. 10 + 2x + -6x = 18 + 6x + -6x Combine like terms: 2x + -6x = -4x 10 + -4x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -4x = 18 + 0 10 + -4x = 18 Add '-10' to each side of the equation. 10 + -10 + -4x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 18 + -10 -4x = 18 + -10 Combine like terms: 18 + -10 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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