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Simplifying 2x + -2 = 3(4x + 6) Reorder the terms: -2 + 2x = 3(4x + 6) Reorder the terms: -2 + 2x = 3(6 + 4x) -2 + 2x = (6 * 3 + 4x * 3) -2 + 2x = (18 + 12x) Solving -2 + 2x = 18 + 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. -2 + 2x + -12x = 18 + 12x + -12x Combine like terms: 2x + -12x = -10x -2 + -10x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -10x = 18 + 0 -2 + -10x = 18 Add '2' to each side of the equation. -2 + 2 + -10x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 18 + 2 -10x = 18 + 2 Combine like terms: 18 + 2 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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