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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 = -1x 3 + -1x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + -1x = -8 + 0 3 + -1x = -8 Add '-3' to each side of the equation. 3 + -3 + -1x = -8 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -8 + -3 -1x = -8 + -3 Combine like terms: -8 + -3 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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