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Simplifying 6x + 2(4 + -2x) = 3(x + 4) 6x + (4 * 2 + -2x * 2) = 3(x + 4) 6x + (8 + -4x) = 3(x + 4) Reorder the terms: 8 + 6x + -4x = 3(x + 4) Combine like terms: 6x + -4x = 2x 8 + 2x = 3(x + 4) Reorder the terms: 8 + 2x = 3(4 + x) 8 + 2x = (4 * 3 + x * 3) 8 + 2x = (12 + 3x) Solving 8 + 2x = 12 + 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. 8 + 2x + -3x = 12 + 3x + -3x Combine like terms: 2x + -3x = -1x 8 + -1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -1x = 12 + 0 8 + -1x = 12 Add '-8' to each side of the equation. 8 + -8 + -1x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 12 + -8 -1x = 12 + -8 Combine like terms: 12 + -8 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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