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Simplifying 8x + -29 = 3(x + -8) Reorder the terms: -29 + 8x = 3(x + -8) Reorder the terms: -29 + 8x = 3(-8 + x) -29 + 8x = (-8 * 3 + x * 3) -29 + 8x = (-24 + 3x) Solving -29 + 8x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -29 + 8x + -3x = -24 + 3x + -3x Combine like terms: 8x + -3x = 5x -29 + 5x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -29 + 5x = -24 + 0 -29 + 5x = -24 Add '29' to each side of the equation. -29 + 29 + 5x = -24 + 29 Combine like terms: -29 + 29 = 0 0 + 5x = -24 + 29 5x = -24 + 29 Combine like terms: -24 + 29 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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