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Simplifying 3(x + -9) + -1(5x + -3) = -3x Reorder the terms: 3(-9 + x) + -1(5x + -3) = -3x (-9 * 3 + x * 3) + -1(5x + -3) = -3x (-27 + 3x) + -1(5x + -3) = -3x Reorder the terms: -27 + 3x + -1(-3 + 5x) = -3x -27 + 3x + (-3 * -1 + 5x * -1) = -3x -27 + 3x + (3 + -5x) = -3x Reorder the terms: -27 + 3 + 3x + -5x = -3x Combine like terms: -27 + 3 = -24 -24 + 3x + -5x = -3x Combine like terms: 3x + -5x = -2x -24 + -2x = -3x Solving -24 + -2x = -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 + -2x + 3x = -3x + 3x Combine like terms: -2x + 3x = 1x -24 + 1x = -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 1x = 0 Add '24' to each side of the equation. -24 + 24 + 1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 0 + 24 1x = 0 + 24 Combine like terms: 0 + 24 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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