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Simplifying -1(1 + -8x) = -1.5 + 7.8x (1 * -1 + -8x * -1) = -1.5 + 7.8x (-1 + 8x) = -1.5 + 7.8x Solving -1 + 8x = -1.5 + 7.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.8x' to each side of the equation. -1 + 8x + -7.8x = -1.5 + 7.8x + -7.8x Combine like terms: 8x + -7.8x = 0.2x -1 + 0.2x = -1.5 + 7.8x + -7.8x Combine like terms: 7.8x + -7.8x = 0.0 -1 + 0.2x = -1.5 + 0.0 -1 + 0.2x = -1.5 Add '1' to each side of the equation. -1 + 1 + 0.2x = -1.5 + 1 Combine like terms: -1 + 1 = 0 0 + 0.2x = -1.5 + 1 0.2x = -1.5 + 1 Combine like terms: -1.5 + 1 = -0.5 0.2x = -0.5 Divide each side by '0.2'. x = -2.5 Simplifying x = -2.5
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