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Simplifying 0.75(24 + -8x) = 2(5x + 1) (24 * 0.75 + -8x * 0.75) = 2(5x + 1) (18 + -6x) = 2(5x + 1) Reorder the terms: 18 + -6x = 2(1 + 5x) 18 + -6x = (1 * 2 + 5x * 2) 18 + -6x = (2 + 10x) Solving 18 + -6x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + -6x + -10x = 2 + 10x + -10x Combine like terms: -6x + -10x = -16x 18 + -16x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -16x = 2 + 0 18 + -16x = 2 Add '-18' to each side of the equation. 18 + -18 + -16x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -16x = 2 + -18 -16x = 2 + -18 Combine like terms: 2 + -18 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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