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