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Simplifying 3(x + -8) + -1x = 21 + 5x Reorder the terms: 3(-8 + x) + -1x = 21 + 5x (-8 * 3 + x * 3) + -1x = 21 + 5x (-24 + 3x) + -1x = 21 + 5x Combine like terms: 3x + -1x = 2x -24 + 2x = 21 + 5x Solving -24 + 2x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 2x + -5x = 21 + 5x + -5x Combine like terms: 2x + -5x = -3x -24 + -3x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + -3x = 21 + 0 -24 + -3x = 21 Add '24' to each side of the equation. -24 + 24 + -3x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = 21 + 24 -3x = 21 + 24 Combine like terms: 21 + 24 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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