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Simplifying 3(2x + 1) = 6(2x + -2) Reorder the terms: 3(1 + 2x) = 6(2x + -2) (1 * 3 + 2x * 3) = 6(2x + -2) (3 + 6x) = 6(2x + -2) Reorder the terms: 3 + 6x = 6(-2 + 2x) 3 + 6x = (-2 * 6 + 2x * 6) 3 + 6x = (-12 + 12x) Solving 3 + 6x = -12 + 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. 3 + 6x + -12x = -12 + 12x + -12x Combine like terms: 6x + -12x = -6x 3 + -6x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -6x = -12 + 0 3 + -6x = -12 Add '-3' to each side of the equation. 3 + -3 + -6x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -12 + -3 -6x = -12 + -3 Combine like terms: -12 + -3 = -15 -6x = -15 Divide each side by '-6'. x = 2.5 Simplifying x = 2.5
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