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Simplifying 3(3 + -0.75x) = 4 + -1(0.5x + -1) (3 * 3 + -0.75x * 3) = 4 + -1(0.5x + -1) (9 + -2.25x) = 4 + -1(0.5x + -1) Reorder the terms: 9 + -2.25x = 4 + -1(-1 + 0.5x) 9 + -2.25x = 4 + (-1 * -1 + 0.5x * -1) 9 + -2.25x = 4 + (1 + -0.5x) Combine like terms: 4 + 1 = 5 9 + -2.25x = 5 + -0.5x Solving 9 + -2.25x = 5 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 9 + -2.25x + 0.5x = 5 + -0.5x + 0.5x Combine like terms: -2.25x + 0.5x = -1.75x 9 + -1.75x = 5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 9 + -1.75x = 5 + 0.0 9 + -1.75x = 5 Add '-9' to each side of the equation. 9 + -9 + -1.75x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -1.75x = 5 + -9 -1.75x = 5 + -9 Combine like terms: 5 + -9 = -4 -1.75x = -4 Divide each side by '-1.75'. x = 2.285714286 Simplifying x = 2.285714286
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