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Simplifying 3(x + -8) + -5 = 1 + (x + 2) * 9 Reorder the terms: 3(-8 + x) + -5 = 1 + (x + 2) * 9 (-8 * 3 + x * 3) + -5 = 1 + (x + 2) * 9 (-24 + 3x) + -5 = 1 + (x + 2) * 9 Reorder the terms: -24 + -5 + 3x = 1 + (x + 2) * 9 Combine like terms: -24 + -5 = -29 -29 + 3x = 1 + (x + 2) * 9 Reorder the terms: -29 + 3x = 1 + (2 + x) * 9 Reorder the terms for easier multiplication: -29 + 3x = 1 + 9(2 + x) -29 + 3x = 1 + (2 * 9 + x * 9) -29 + 3x = 1 + (18 + 9x) Combine like terms: 1 + 18 = 19 -29 + 3x = 19 + 9x Solving -29 + 3x = 19 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -29 + 3x + -9x = 19 + 9x + -9x Combine like terms: 3x + -9x = -6x -29 + -6x = 19 + 9x + -9x Combine like terms: 9x + -9x = 0 -29 + -6x = 19 + 0 -29 + -6x = 19 Add '29' to each side of the equation. -29 + 29 + -6x = 19 + 29 Combine like terms: -29 + 29 = 0 0 + -6x = 19 + 29 -6x = 19 + 29 Combine like terms: 19 + 29 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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