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Simplifying 5 + -2(x + 7) + 3(5 + -1x) = -14 Reorder the terms: 5 + -2(7 + x) + 3(5 + -1x) = -14 5 + (7 * -2 + x * -2) + 3(5 + -1x) = -14 5 + (-14 + -2x) + 3(5 + -1x) = -14 5 + -14 + -2x + (5 * 3 + -1x * 3) = -14 5 + -14 + -2x + (15 + -3x) = -14 Reorder the terms: 5 + -14 + 15 + -2x + -3x = -14 Combine like terms: 5 + -14 = -9 -9 + 15 + -2x + -3x = -14 Combine like terms: -9 + 15 = 6 6 + -2x + -3x = -14 Combine like terms: -2x + -3x = -5x 6 + -5x = -14 Solving 6 + -5x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -14 + -6 -5x = -14 + -6 Combine like terms: -14 + -6 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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