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Simplifying 2x + -13 = 3(3x + 5) Reorder the terms: -13 + 2x = 3(3x + 5) Reorder the terms: -13 + 2x = 3(5 + 3x) -13 + 2x = (5 * 3 + 3x * 3) -13 + 2x = (15 + 9x) Solving -13 + 2x = 15 + 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. -13 + 2x + -9x = 15 + 9x + -9x Combine like terms: 2x + -9x = -7x -13 + -7x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + -7x = 15 + 0 -13 + -7x = 15 Add '13' to each side of the equation. -13 + 13 + -7x = 15 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 15 + 13 -7x = 15 + 13 Combine like terms: 15 + 13 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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