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Simplifying 3(x + -5) + 5(x + 2) = x + -9 Reorder the terms: 3(-5 + x) + 5(x + 2) = x + -9 (-5 * 3 + x * 3) + 5(x + 2) = x + -9 (-15 + 3x) + 5(x + 2) = x + -9 Reorder the terms: -15 + 3x + 5(2 + x) = x + -9 -15 + 3x + (2 * 5 + x * 5) = x + -9 -15 + 3x + (10 + 5x) = x + -9 Reorder the terms: -15 + 10 + 3x + 5x = x + -9 Combine like terms: -15 + 10 = -5 -5 + 3x + 5x = x + -9 Combine like terms: 3x + 5x = 8x -5 + 8x = x + -9 Reorder the terms: -5 + 8x = -9 + x Solving -5 + 8x = -9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 8x + -1x = -9 + x + -1x Combine like terms: 8x + -1x = 7x -5 + 7x = -9 + x + -1x Combine like terms: x + -1x = 0 -5 + 7x = -9 + 0 -5 + 7x = -9 Add '5' to each side of the equation. -5 + 5 + 7x = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = -9 + 5 7x = -9 + 5 Combine like terms: -9 + 5 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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