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Simplifying 3(-3x + 1) = 8(x + 1) Reorder the terms: 3(1 + -3x) = 8(x + 1) (1 * 3 + -3x * 3) = 8(x + 1) (3 + -9x) = 8(x + 1) Reorder the terms: 3 + -9x = 8(1 + x) 3 + -9x = (1 * 8 + x * 8) 3 + -9x = (8 + 8x) Solving 3 + -9x = 8 + 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. 3 + -9x + -8x = 8 + 8x + -8x Combine like terms: -9x + -8x = -17x 3 + -17x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -17x = 8 + 0 3 + -17x = 8 Add '-3' to each side of the equation. 3 + -3 + -17x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -17x = 8 + -3 -17x = 8 + -3 Combine like terms: 8 + -3 = 5 -17x = 5 Divide each side by '-17'. x = -0.2941176471 Simplifying x = -0.2941176471
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