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Simplifying 0.5(6x + 4) = 0.25(x + -1) Reorder the terms: 0.5(4 + 6x) = 0.25(x + -1) (4 * 0.5 + 6x * 0.5) = 0.25(x + -1) (2 + 3x) = 0.25(x + -1) Reorder the terms: 2 + 3x = 0.25(-1 + x) 2 + 3x = (-1 * 0.25 + x * 0.25) 2 + 3x = (-0.25 + 0.25x) Solving 2 + 3x = -0.25 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 2 + 3x + -0.25x = -0.25 + 0.25x + -0.25x Combine like terms: 3x + -0.25x = 2.75x 2 + 2.75x = -0.25 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 2 + 2.75x = -0.25 + 0.00 2 + 2.75x = -0.25 Add '-2' to each side of the equation. 2 + -2 + 2.75x = -0.25 + -2 Combine like terms: 2 + -2 = 0 0 + 2.75x = -0.25 + -2 2.75x = -0.25 + -2 Combine like terms: -0.25 + -2 = -2.25 2.75x = -2.25 Divide each side by '2.75'. x = -0.8181818182 Simplifying x = -0.8181818182
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