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Simplifying 2(x + -1) + 8 = 6(2x + -4) Reorder the terms: 2(-1 + x) + 8 = 6(2x + -4) (-1 * 2 + x * 2) + 8 = 6(2x + -4) (-2 + 2x) + 8 = 6(2x + -4) Reorder the terms: -2 + 8 + 2x = 6(2x + -4) Combine like terms: -2 + 8 = 6 6 + 2x = 6(2x + -4) Reorder the terms: 6 + 2x = 6(-4 + 2x) 6 + 2x = (-4 * 6 + 2x * 6) 6 + 2x = (-24 + 12x) Solving 6 + 2x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 2x + -12x = -24 + 12x + -12x Combine like terms: 2x + -12x = -10x 6 + -10x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -10x = -24 + 0 6 + -10x = -24 Add '-6' to each side of the equation. 6 + -6 + -10x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -24 + -6 -10x = -24 + -6 Combine like terms: -24 + -6 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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