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Simplifying 2(x + 6) + 3 = 5x + -7 Reorder the terms: 2(6 + x) + 3 = 5x + -7 (6 * 2 + x * 2) + 3 = 5x + -7 (12 + 2x) + 3 = 5x + -7 Reorder the terms: 12 + 3 + 2x = 5x + -7 Combine like terms: 12 + 3 = 15 15 + 2x = 5x + -7 Reorder the terms: 15 + 2x = -7 + 5x Solving 15 + 2x = -7 + 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. 15 + 2x + -5x = -7 + 5x + -5x Combine like terms: 2x + -5x = -3x 15 + -3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -3x = -7 + 0 15 + -3x = -7 Add '-15' to each side of the equation. 15 + -15 + -3x = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -7 + -15 -3x = -7 + -15 Combine like terms: -7 + -15 = -22 -3x = -22 Divide each side by '-3'. x = 7.333333333 Simplifying x = 7.333333333
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