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Simplifying 2(x + 3) = 6x + -12 Reorder the terms: 2(3 + x) = 6x + -12 (3 * 2 + x * 2) = 6x + -12 (6 + 2x) = 6x + -12 Reorder the terms: 6 + 2x = -12 + 6x Solving 6 + 2x = -12 + 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. 6 + 2x + -6x = -12 + 6x + -6x Combine like terms: 2x + -6x = -4x 6 + -4x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -4x = -12 + 0 6 + -4x = -12 Add '-6' to each side of the equation. 6 + -6 + -4x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -12 + -6 -4x = -12 + -6 Combine like terms: -12 + -6 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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