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Simplifying 2(x + 6) = 5x + -10 Reorder the terms: 2(6 + x) = 5x + -10 (6 * 2 + x * 2) = 5x + -10 (12 + 2x) = 5x + -10 Reorder the terms: 12 + 2x = -10 + 5x Solving 12 + 2x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 2x + -5x = -10 + 5x + -5x Combine like terms: 2x + -5x = -3x 12 + -3x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -3x = -10 + 0 12 + -3x = -10 Add '-12' to each side of the equation. 12 + -12 + -3x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -10 + -12 -3x = -10 + -12 Combine like terms: -10 + -12 = -22 -3x = -22 Divide each side by '-3'. x = 7.333333333 Simplifying x = 7.333333333
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