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Simplifying 5(x + -3) + -9 = 3(x + -2) + 16 Reorder the terms: 5(-3 + x) + -9 = 3(x + -2) + 16 (-3 * 5 + x * 5) + -9 = 3(x + -2) + 16 (-15 + 5x) + -9 = 3(x + -2) + 16 Reorder the terms: -15 + -9 + 5x = 3(x + -2) + 16 Combine like terms: -15 + -9 = -24 -24 + 5x = 3(x + -2) + 16 Reorder the terms: -24 + 5x = 3(-2 + x) + 16 -24 + 5x = (-2 * 3 + x * 3) + 16 -24 + 5x = (-6 + 3x) + 16 Reorder the terms: -24 + 5x = -6 + 16 + 3x Combine like terms: -6 + 16 = 10 -24 + 5x = 10 + 3x Solving -24 + 5x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + 5x + -3x = 10 + 3x + -3x Combine like terms: 5x + -3x = 2x -24 + 2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 2x = 10 + 0 -24 + 2x = 10 Add '24' to each side of the equation. -24 + 24 + 2x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 10 + 24 2x = 10 + 24 Combine like terms: 10 + 24 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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