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Simplifying x + 12 = 2(3x + -4) Reorder the terms: 12 + x = 2(3x + -4) Reorder the terms: 12 + x = 2(-4 + 3x) 12 + x = (-4 * 2 + 3x * 2) 12 + x = (-8 + 6x) Solving 12 + x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + x + -6x = -8 + 6x + -6x Combine like terms: x + -6x = -5x 12 + -5x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -5x = -8 + 0 12 + -5x = -8 Add '-12' to each side of the equation. 12 + -12 + -5x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -8 + -12 -5x = -8 + -12 Combine like terms: -8 + -12 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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