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Simplifying 3(x + 5) = 9x + -13 Reorder the terms: 3(5 + x) = 9x + -13 (5 * 3 + x * 3) = 9x + -13 (15 + 3x) = 9x + -13 Reorder the terms: 15 + 3x = -13 + 9x Solving 15 + 3x = -13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 3x + -9x = -13 + 9x + -9x Combine like terms: 3x + -9x = -6x 15 + -6x = -13 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -6x = -13 + 0 15 + -6x = -13 Add '-15' to each side of the equation. 15 + -15 + -6x = -13 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = -13 + -15 -6x = -13 + -15 Combine like terms: -13 + -15 = -28 -6x = -28 Divide each side by '-6'. x = 4.666666667 Simplifying x = 4.666666667
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