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Simplifying 8 + -0.5(x + 3) = 0.25(x + -1) Reorder the terms: 8 + -0.5(3 + x) = 0.25(x + -1) 8 + (3 * -0.5 + x * -0.5) = 0.25(x + -1) 8 + (-1.5 + -0.5x) = 0.25(x + -1) Combine like terms: 8 + -1.5 = 6.5 6.5 + -0.5x = 0.25(x + -1) Reorder the terms: 6.5 + -0.5x = 0.25(-1 + x) 6.5 + -0.5x = (-1 * 0.25 + x * 0.25) 6.5 + -0.5x = (-0.25 + 0.25x) Solving 6.5 + -0.5x = -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. 6.5 + -0.5x + -0.25x = -0.25 + 0.25x + -0.25x Combine like terms: -0.5x + -0.25x = -0.75x 6.5 + -0.75x = -0.25 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 6.5 + -0.75x = -0.25 + 0.00 6.5 + -0.75x = -0.25 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -0.75x = -0.25 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -0.75x = -0.25 + -6.5 -0.75x = -0.25 + -6.5 Combine like terms: -0.25 + -6.5 = -6.75 -0.75x = -6.75 Divide each side by '-0.75'. x = 9 Simplifying x = 9
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