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Simplifying 9 + -3(x + 5) = 5(2x + -9) Reorder the terms: 9 + -3(5 + x) = 5(2x + -9) 9 + (5 * -3 + x * -3) = 5(2x + -9) 9 + (-15 + -3x) = 5(2x + -9) Combine like terms: 9 + -15 = -6 -6 + -3x = 5(2x + -9) Reorder the terms: -6 + -3x = 5(-9 + 2x) -6 + -3x = (-9 * 5 + 2x * 5) -6 + -3x = (-45 + 10x) Solving -6 + -3x = -45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + -3x + -10x = -45 + 10x + -10x Combine like terms: -3x + -10x = -13x -6 + -13x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -13x = -45 + 0 -6 + -13x = -45 Add '6' to each side of the equation. -6 + 6 + -13x = -45 + 6 Combine like terms: -6 + 6 = 0 0 + -13x = -45 + 6 -13x = -45 + 6 Combine like terms: -45 + 6 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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