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Simplifying 3x + 24 = (10x + 17) + -1(2x + -8) Reorder the terms: 24 + 3x = (10x + 17) + -1(2x + -8) Reorder the terms: 24 + 3x = (17 + 10x) + -1(2x + -8) Remove parenthesis around (17 + 10x) 24 + 3x = 17 + 10x + -1(2x + -8) Reorder the terms: 24 + 3x = 17 + 10x + -1(-8 + 2x) 24 + 3x = 17 + 10x + (-8 * -1 + 2x * -1) 24 + 3x = 17 + 10x + (8 + -2x) Reorder the terms: 24 + 3x = 17 + 8 + 10x + -2x Combine like terms: 17 + 8 = 25 24 + 3x = 25 + 10x + -2x Combine like terms: 10x + -2x = 8x 24 + 3x = 25 + 8x Solving 24 + 3x = 25 + 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. 24 + 3x + -8x = 25 + 8x + -8x Combine like terms: 3x + -8x = -5x 24 + -5x = 25 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -5x = 25 + 0 24 + -5x = 25 Add '-24' to each side of the equation. 24 + -24 + -5x = 25 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 25 + -24 -5x = 25 + -24 Combine like terms: 25 + -24 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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