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Simplifying -1(x + -12) + 3(x + 3) = x + 3 Reorder the terms: -1(-12 + x) + 3(x + 3) = x + 3 (-12 * -1 + x * -1) + 3(x + 3) = x + 3 (12 + -1x) + 3(x + 3) = x + 3 Reorder the terms: 12 + -1x + 3(3 + x) = x + 3 12 + -1x + (3 * 3 + x * 3) = x + 3 12 + -1x + (9 + 3x) = x + 3 Reorder the terms: 12 + 9 + -1x + 3x = x + 3 Combine like terms: 12 + 9 = 21 21 + -1x + 3x = x + 3 Combine like terms: -1x + 3x = 2x 21 + 2x = x + 3 Reorder the terms: 21 + 2x = 3 + x Solving 21 + 2x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 21 + 2x + -1x = 3 + x + -1x Combine like terms: 2x + -1x = 1x 21 + 1x = 3 + x + -1x Combine like terms: x + -1x = 0 21 + 1x = 3 + 0 21 + 1x = 3 Add '-21' to each side of the equation. 21 + -21 + 1x = 3 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 3 + -21 1x = 3 + -21 Combine like terms: 3 + -21 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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