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Simplifying 2x + 9 = 3(5x + -7) Reorder the terms: 9 + 2x = 3(5x + -7) Reorder the terms: 9 + 2x = 3(-7 + 5x) 9 + 2x = (-7 * 3 + 5x * 3) 9 + 2x = (-21 + 15x) Solving 9 + 2x = -21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 9 + 2x + -15x = -21 + 15x + -15x Combine like terms: 2x + -15x = -13x 9 + -13x = -21 + 15x + -15x Combine like terms: 15x + -15x = 0 9 + -13x = -21 + 0 9 + -13x = -21 Add '-9' to each side of the equation. 9 + -9 + -13x = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -13x = -21 + -9 -13x = -21 + -9 Combine like terms: -21 + -9 = -30 -13x = -30 Divide each side by '-13'. x = 2.307692308 Simplifying x = 2.307692308
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