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Simplifying -12 + 2(x + -4) + 1 = (3x + 2) + -4 Reorder the terms: -12 + 2(-4 + x) + 1 = (3x + 2) + -4 -12 + (-4 * 2 + x * 2) + 1 = (3x + 2) + -4 -12 + (-8 + 2x) + 1 = (3x + 2) + -4 Reorder the terms: -12 + -8 + 1 + 2x = (3x + 2) + -4 Combine like terms: -12 + -8 = -20 -20 + 1 + 2x = (3x + 2) + -4 Combine like terms: -20 + 1 = -19 -19 + 2x = (3x + 2) + -4 Reorder the terms: -19 + 2x = (2 + 3x) + -4 Remove parenthesis around (2 + 3x) -19 + 2x = 2 + 3x + -4 Reorder the terms: -19 + 2x = 2 + -4 + 3x Combine like terms: 2 + -4 = -2 -19 + 2x = -2 + 3x Solving -19 + 2x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -19 + 2x + -3x = -2 + 3x + -3x Combine like terms: 2x + -3x = -1x -19 + -1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -19 + -1x = -2 + 0 -19 + -1x = -2 Add '19' to each side of the equation. -19 + 19 + -1x = -2 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = -2 + 19 -1x = -2 + 19 Combine like terms: -2 + 19 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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