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Simplifying -1x + 12 = 3(x + 4) + 4 Reorder the terms: 12 + -1x = 3(x + 4) + 4 Reorder the terms: 12 + -1x = 3(4 + x) + 4 12 + -1x = (4 * 3 + x * 3) + 4 12 + -1x = (12 + 3x) + 4 Reorder the terms: 12 + -1x = 12 + 4 + 3x Combine like terms: 12 + 4 = 16 12 + -1x = 16 + 3x Solving 12 + -1x = 16 + 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. 12 + -1x + -3x = 16 + 3x + -3x Combine like terms: -1x + -3x = -4x 12 + -4x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -4x = 16 + 0 12 + -4x = 16 Add '-12' to each side of the equation. 12 + -12 + -4x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 16 + -12 -4x = 16 + -12 Combine like terms: 16 + -12 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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