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Simplifying 9x + 5(x + 3) = -1(x + 13) + x Reorder the terms: 9x + 5(3 + x) = -1(x + 13) + x 9x + (3 * 5 + x * 5) = -1(x + 13) + x 9x + (15 + 5x) = -1(x + 13) + x Reorder the terms: 15 + 9x + 5x = -1(x + 13) + x Combine like terms: 9x + 5x = 14x 15 + 14x = -1(x + 13) + x Reorder the terms: 15 + 14x = -1(13 + x) + x 15 + 14x = (13 * -1 + x * -1) + x 15 + 14x = (-13 + -1x) + x Combine like terms: -1x + x = 0 15 + 14x = -13 + 0 15 + 14x = -13 Solving 15 + 14x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 14x = -13 + -15 Combine like terms: 15 + -15 = 0 0 + 14x = -13 + -15 14x = -13 + -15 Combine like terms: -13 + -15 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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