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Simplifying 2(-6x + 7) = 3x + 6 Reorder the terms: 2(7 + -6x) = 3x + 6 (7 * 2 + -6x * 2) = 3x + 6 (14 + -12x) = 3x + 6 Reorder the terms: 14 + -12x = 6 + 3x Solving 14 + -12x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + -12x + -3x = 6 + 3x + -3x Combine like terms: -12x + -3x = -15x 14 + -15x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -15x = 6 + 0 14 + -15x = 6 Add '-14' to each side of the equation. 14 + -14 + -15x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -15x = 6 + -14 -15x = 6 + -14 Combine like terms: 6 + -14 = -8 -15x = -8 Divide each side by '-15'. x = 0.5333333333 Simplifying x = 0.5333333333
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