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Simplifying 0.25(5x + 4) = 0.3(2x + -1) Reorder the terms: 0.25(4 + 5x) = 0.3(2x + -1) (4 * 0.25 + 5x * 0.25) = 0.3(2x + -1) (1 + 1.25x) = 0.3(2x + -1) Reorder the terms: 1 + 1.25x = 0.3(-1 + 2x) 1 + 1.25x = (-1 * 0.3 + 2x * 0.3) 1 + 1.25x = (-0.3 + 0.6x) Solving 1 + 1.25x = -0.3 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 1 + 1.25x + -0.6x = -0.3 + 0.6x + -0.6x Combine like terms: 1.25x + -0.6x = 0.65x 1 + 0.65x = -0.3 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1 + 0.65x = -0.3 + 0.0 1 + 0.65x = -0.3 Add '-1' to each side of the equation. 1 + -1 + 0.65x = -0.3 + -1 Combine like terms: 1 + -1 = 0 0 + 0.65x = -0.3 + -1 0.65x = -0.3 + -1 Combine like terms: -0.3 + -1 = -1.3 0.65x = -1.3 Divide each side by '0.65'. x = -2 Simplifying x = -2
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