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Simplifying 2(-6 + 2x) + 8x = 6(x + 1) (-6 * 2 + 2x * 2) + 8x = 6(x + 1) (-12 + 4x) + 8x = 6(x + 1) Combine like terms: 4x + 8x = 12x -12 + 12x = 6(x + 1) Reorder the terms: -12 + 12x = 6(1 + x) -12 + 12x = (1 * 6 + x * 6) -12 + 12x = (6 + 6x) Solving -12 + 12x = 6 + 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. -12 + 12x + -6x = 6 + 6x + -6x Combine like terms: 12x + -6x = 6x -12 + 6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 6x = 6 + 0 -12 + 6x = 6 Add '12' to each side of the equation. -12 + 12 + 6x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 6 + 12 6x = 6 + 12 Combine like terms: 6 + 12 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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