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Simplifying 0.75(2x + 8) = 5 + -1x Reorder the terms: 0.75(8 + 2x) = 5 + -1x (8 * 0.75 + 2x * 0.75) = 5 + -1x (6 + 1.5x) = 5 + -1x Solving 6 + 1.5x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 1.5x + x = 5 + -1x + x Combine like terms: 1.5x + x = 2.5x 6 + 2.5x = 5 + -1x + x Combine like terms: -1x + x = 0 6 + 2.5x = 5 + 0 6 + 2.5x = 5 Add '-6' to each side of the equation. 6 + -6 + 2.5x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 2.5x = 5 + -6 2.5x = 5 + -6 Combine like terms: 5 + -6 = -1 2.5x = -1 Divide each side by '2.5'. x = -0.4 Simplifying x = -0.4
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