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Simplifying 4 + -1(2x + -6) = 8x + -12 + 2 Reorder the terms: 4 + -1(-6 + 2x) = 8x + -12 + 2 4 + (-6 * -1 + 2x * -1) = 8x + -12 + 2 4 + (6 + -2x) = 8x + -12 + 2 Combine like terms: 4 + 6 = 10 10 + -2x = 8x + -12 + 2 Reorder the terms: 10 + -2x = -12 + 2 + 8x Combine like terms: -12 + 2 = -10 10 + -2x = -10 + 8x Solving 10 + -2x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + -2x + -8x = -10 + 8x + -8x Combine like terms: -2x + -8x = -10x 10 + -10x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -10x = -10 + 0 10 + -10x = -10 Add '-10' to each side of the equation. 10 + -10 + -10x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = -10 + -10 -10x = -10 + -10 Combine like terms: -10 + -10 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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