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Simplifying 5x + -2(3x + -7) = 24 + -2(x + 5) Reorder the terms: 5x + -2(-7 + 3x) = 24 + -2(x + 5) 5x + (-7 * -2 + 3x * -2) = 24 + -2(x + 5) 5x + (14 + -6x) = 24 + -2(x + 5) Reorder the terms: 14 + 5x + -6x = 24 + -2(x + 5) Combine like terms: 5x + -6x = -1x 14 + -1x = 24 + -2(x + 5) Reorder the terms: 14 + -1x = 24 + -2(5 + x) 14 + -1x = 24 + (5 * -2 + x * -2) 14 + -1x = 24 + (-10 + -2x) Combine like terms: 24 + -10 = 14 14 + -1x = 14 + -2x Add '-14' to each side of the equation. 14 + -14 + -1x = 14 + -14 + -2x Combine like terms: 14 + -14 = 0 0 + -1x = 14 + -14 + -2x -1x = 14 + -14 + -2x Combine like terms: 14 + -14 = 0 -1x = 0 + -2x -1x = -2x Solving -1x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1x + 2x = -2x + 2x Combine like terms: -1x + 2x = 1x 1x = -2x + 2x Combine like terms: -2x + 2x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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