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Simplifying 10 + 2(x + 6) = 5x + -12 Reorder the terms: 10 + 2(6 + x) = 5x + -12 10 + (6 * 2 + x * 2) = 5x + -12 10 + (12 + 2x) = 5x + -12 Combine like terms: 10 + 12 = 22 22 + 2x = 5x + -12 Reorder the terms: 22 + 2x = -12 + 5x Solving 22 + 2x = -12 + 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. 22 + 2x + -5x = -12 + 5x + -5x Combine like terms: 2x + -5x = -3x 22 + -3x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + -3x = -12 + 0 22 + -3x = -12 Add '-22' to each side of the equation. 22 + -22 + -3x = -12 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = -12 + -22 -3x = -12 + -22 Combine like terms: -12 + -22 = -34 -3x = -34 Divide each side by '-3'. x = 11.33333333 Simplifying x = 11.33333333
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