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Simplifying 8(1 + -3x) = -40 + -8x (1 * 8 + -3x * 8) = -40 + -8x (8 + -24x) = -40 + -8x Solving 8 + -24x = -40 + -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. 8 + -24x + 8x = -40 + -8x + 8x Combine like terms: -24x + 8x = -16x 8 + -16x = -40 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + -16x = -40 + 0 8 + -16x = -40 Add '-8' to each side of the equation. 8 + -8 + -16x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -16x = -40 + -8 -16x = -40 + -8 Combine like terms: -40 + -8 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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