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