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Simplifying x + -39 = 5(2x + 5) + 8 Reorder the terms: -39 + x = 5(2x + 5) + 8 Reorder the terms: -39 + x = 5(5 + 2x) + 8 -39 + x = (5 * 5 + 2x * 5) + 8 -39 + x = (25 + 10x) + 8 Reorder the terms: -39 + x = 25 + 8 + 10x Combine like terms: 25 + 8 = 33 -39 + x = 33 + 10x Solving -39 + x = 33 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -39 + x + -10x = 33 + 10x + -10x Combine like terms: x + -10x = -9x -39 + -9x = 33 + 10x + -10x Combine like terms: 10x + -10x = 0 -39 + -9x = 33 + 0 -39 + -9x = 33 Add '39' to each side of the equation. -39 + 39 + -9x = 33 + 39 Combine like terms: -39 + 39 = 0 0 + -9x = 33 + 39 -9x = 33 + 39 Combine like terms: 33 + 39 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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