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Simplifying -0.25(x + -8) + 0.5(x + -2) = x + -3 Reorder the terms: -0.25(-8 + x) + 0.5(x + -2) = x + -3 (-8 * -0.25 + x * -0.25) + 0.5(x + -2) = x + -3 (2 + -0.25x) + 0.5(x + -2) = x + -3 Reorder the terms: 2 + -0.25x + 0.5(-2 + x) = x + -3 2 + -0.25x + (-2 * 0.5 + x * 0.5) = x + -3 2 + -0.25x + (-1 + 0.5x) = x + -3 Reorder the terms: 2 + -1 + -0.25x + 0.5x = x + -3 Combine like terms: 2 + -1 = 1 1 + -0.25x + 0.5x = x + -3 Combine like terms: -0.25x + 0.5x = 0.25x 1 + 0.25x = x + -3 Reorder the terms: 1 + 0.25x = -3 + x Solving 1 + 0.25x = -3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 0.25x + -1x = -3 + x + -1x Combine like terms: 0.25x + -1x = -0.75x 1 + -0.75x = -3 + x + -1x Combine like terms: x + -1x = 0 1 + -0.75x = -3 + 0 1 + -0.75x = -3 Add '-1' to each side of the equation. 1 + -1 + -0.75x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -0.75x = -3 + -1 -0.75x = -3 + -1 Combine like terms: -3 + -1 = -4 -0.75x = -4 Divide each side by '-0.75'. x = 5.333333333 Simplifying x = 5.333333333
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