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Simplifying 7x + -1(5x + 2) = 3x + -24 Reorder the terms: 7x + -1(2 + 5x) = 3x + -24 7x + (2 * -1 + 5x * -1) = 3x + -24 7x + (-2 + -5x) = 3x + -24 Reorder the terms: -2 + 7x + -5x = 3x + -24 Combine like terms: 7x + -5x = 2x -2 + 2x = 3x + -24 Reorder the terms: -2 + 2x = -24 + 3x Solving -2 + 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. -2 + 2x + -3x = -24 + 3x + -3x Combine like terms: 2x + -3x = -1x -2 + -1x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -1x = -24 + 0 -2 + -1x = -24 Add '2' to each side of the equation. -2 + 2 + -1x = -24 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -24 + 2 -1x = -24 + 2 Combine like terms: -24 + 2 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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