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Simplifying 5(x + -3) + -9 = -2(x + 17) Reorder the terms: 5(-3 + x) + -9 = -2(x + 17) (-3 * 5 + x * 5) + -9 = -2(x + 17) (-15 + 5x) + -9 = -2(x + 17) Reorder the terms: -15 + -9 + 5x = -2(x + 17) Combine like terms: -15 + -9 = -24 -24 + 5x = -2(x + 17) Reorder the terms: -24 + 5x = -2(17 + x) -24 + 5x = (17 * -2 + x * -2) -24 + 5x = (-34 + -2x) Solving -24 + 5x = -34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -24 + 5x + 2x = -34 + -2x + 2x Combine like terms: 5x + 2x = 7x -24 + 7x = -34 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + 7x = -34 + 0 -24 + 7x = -34 Add '24' to each side of the equation. -24 + 24 + 7x = -34 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = -34 + 24 7x = -34 + 24 Combine like terms: -34 + 24 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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