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Simplifying 3(2x + -2) = 2(6x + 15) Reorder the terms: 3(-2 + 2x) = 2(6x + 15) (-2 * 3 + 2x * 3) = 2(6x + 15) (-6 + 6x) = 2(6x + 15) Reorder the terms: -6 + 6x = 2(15 + 6x) -6 + 6x = (15 * 2 + 6x * 2) -6 + 6x = (30 + 12x) Solving -6 + 6x = 30 + 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 + 6x + -12x = 30 + 12x + -12x Combine like terms: 6x + -12x = -6x -6 + -6x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -6x = 30 + 0 -6 + -6x = 30 Add '6' to each side of the equation. -6 + 6 + -6x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 30 + 6 -6x = 30 + 6 Combine like terms: 30 + 6 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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