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Simplifying -3x + 8(-3x + 5) = -1 + -3(-4 + -1x) Reorder the terms: -3x + 8(5 + -3x) = -1 + -3(-4 + -1x) -3x + (5 * 8 + -3x * 8) = -1 + -3(-4 + -1x) -3x + (40 + -24x) = -1 + -3(-4 + -1x) Reorder the terms: 40 + -3x + -24x = -1 + -3(-4 + -1x) Combine like terms: -3x + -24x = -27x 40 + -27x = -1 + -3(-4 + -1x) 40 + -27x = -1 + (-4 * -3 + -1x * -3) 40 + -27x = -1 + (12 + 3x) Combine like terms: -1 + 12 = 11 40 + -27x = 11 + 3x Solving 40 + -27x = 11 + 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. 40 + -27x + -3x = 11 + 3x + -3x Combine like terms: -27x + -3x = -30x 40 + -30x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + -30x = 11 + 0 40 + -30x = 11 Add '-40' to each side of the equation. 40 + -40 + -30x = 11 + -40 Combine like terms: 40 + -40 = 0 0 + -30x = 11 + -40 -30x = 11 + -40 Combine like terms: 11 + -40 = -29 -30x = -29 Divide each side by '-30'. x = 0.9666666667 Simplifying x = 0.9666666667
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