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Simplifying 5x + -2(x + 7) = 8x + -24 Reorder the terms: 5x + -2(7 + x) = 8x + -24 5x + (7 * -2 + x * -2) = 8x + -24 5x + (-14 + -2x) = 8x + -24 Reorder the terms: -14 + 5x + -2x = 8x + -24 Combine like terms: 5x + -2x = 3x -14 + 3x = 8x + -24 Reorder the terms: -14 + 3x = -24 + 8x Solving -14 + 3x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 3x + -8x = -24 + 8x + -8x Combine like terms: 3x + -8x = -5x -14 + -5x = -24 + 8x + -8x Combine like terms: 8x + -8x = 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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