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Simplifying 5x + -1(7x + 9) = 3x + -24 Reorder the terms: 5x + -1(9 + 7x) = 3x + -24 5x + (9 * -1 + 7x * -1) = 3x + -24 5x + (-9 + -7x) = 3x + -24 Reorder the terms: -9 + 5x + -7x = 3x + -24 Combine like terms: 5x + -7x = -2x -9 + -2x = 3x + -24 Reorder the terms: -9 + -2x = -24 + 3x Solving -9 + -2x = -24 + 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. -9 + -2x + -3x = -24 + 3x + -3x Combine like terms: -2x + -3x = -5x -9 + -5x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -5x = -24 + 0 -9 + -5x = -24 Add '9' to each side of the equation. -9 + 9 + -5x = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = -24 + 9 -5x = -24 + 9 Combine like terms: -24 + 9 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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