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Simplifying -2(x + -6) + 8 = 3(2x + 4) Reorder the terms: -2(-6 + x) + 8 = 3(2x + 4) (-6 * -2 + x * -2) + 8 = 3(2x + 4) (12 + -2x) + 8 = 3(2x + 4) Reorder the terms: 12 + 8 + -2x = 3(2x + 4) Combine like terms: 12 + 8 = 20 20 + -2x = 3(2x + 4) Reorder the terms: 20 + -2x = 3(4 + 2x) 20 + -2x = (4 * 3 + 2x * 3) 20 + -2x = (12 + 6x) Solving 20 + -2x = 12 + 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. 20 + -2x + -6x = 12 + 6x + -6x Combine like terms: -2x + -6x = -8x 20 + -8x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -8x = 12 + 0 20 + -8x = 12 Add '-20' to each side of the equation. 20 + -20 + -8x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = 12 + -20 -8x = 12 + -20 Combine like terms: 12 + -20 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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