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Simplifying -12x + 2(4 + 3x) = x + -2(4 + x) -12x + (4 * 2 + 3x * 2) = x + -2(4 + x) -12x + (8 + 6x) = x + -2(4 + x) Reorder the terms: 8 + -12x + 6x = x + -2(4 + x) Combine like terms: -12x + 6x = -6x 8 + -6x = x + -2(4 + x) 8 + -6x = x + (4 * -2 + x * -2) 8 + -6x = x + (-8 + -2x) Reorder the terms: 8 + -6x = -8 + x + -2x Combine like terms: x + -2x = -1x 8 + -6x = -8 + -1x Solving 8 + -6x = -8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + -6x + x = -8 + -1x + x Combine like terms: -6x + x = -5x 8 + -5x = -8 + -1x + x Combine like terms: -1x + x = 0 8 + -5x = -8 + 0 8 + -5x = -8 Add '-8' to each side of the equation. 8 + -8 + -5x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -8 + -8 -5x = -8 + -8 Combine like terms: -8 + -8 = -16 -5x = -16 Divide each side by '-5'. x = 3.2 Simplifying x = 3.2
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