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Simplifying 3(2x + 2) = 6(5x + 2) + 6 Reorder the terms: 3(2 + 2x) = 6(5x + 2) + 6 (2 * 3 + 2x * 3) = 6(5x + 2) + 6 (6 + 6x) = 6(5x + 2) + 6 Reorder the terms: 6 + 6x = 6(2 + 5x) + 6 6 + 6x = (2 * 6 + 5x * 6) + 6 6 + 6x = (12 + 30x) + 6 Reorder the terms: 6 + 6x = 12 + 6 + 30x Combine like terms: 12 + 6 = 18 6 + 6x = 18 + 30x Solving 6 + 6x = 18 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 6 + 6x + -30x = 18 + 30x + -30x Combine like terms: 6x + -30x = -24x 6 + -24x = 18 + 30x + -30x Combine like terms: 30x + -30x = 0 6 + -24x = 18 + 0 6 + -24x = 18 Add '-6' to each side of the equation. 6 + -6 + -24x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -24x = 18 + -6 -24x = 18 + -6 Combine like terms: 18 + -6 = 12 -24x = 12 Divide each side by '-24'. x = -0.5 Simplifying x = -0.5
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