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Simplifying 2 + 3(x + 4) = 5(x + -1) + -7 Reorder the terms: 2 + 3(4 + x) = 5(x + -1) + -7 2 + (4 * 3 + x * 3) = 5(x + -1) + -7 2 + (12 + 3x) = 5(x + -1) + -7 Combine like terms: 2 + 12 = 14 14 + 3x = 5(x + -1) + -7 Reorder the terms: 14 + 3x = 5(-1 + x) + -7 14 + 3x = (-1 * 5 + x * 5) + -7 14 + 3x = (-5 + 5x) + -7 Reorder the terms: 14 + 3x = -5 + -7 + 5x Combine like terms: -5 + -7 = -12 14 + 3x = -12 + 5x Solving 14 + 3x = -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. 14 + 3x + -5x = -12 + 5x + -5x Combine like terms: 3x + -5x = -2x 14 + -2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -2x = -12 + 0 14 + -2x = -12 Add '-14' to each side of the equation. 14 + -14 + -2x = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = -12 + -14 -2x = -12 + -14 Combine like terms: -12 + -14 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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