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