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Simplifying -0.75(x + -8) + 0.50(x + 2) = x + 6 Reorder the terms: -0.75(-8 + x) + 0.50(x + 2) = x + 6 (-8 * -0.75 + x * -0.75) + 0.50(x + 2) = x + 6 (6 + -0.75x) + 0.50(x + 2) = x + 6 Reorder the terms: 6 + -0.75x + 0.50(2 + x) = x + 6 6 + -0.75x + (2 * 0.50 + x * 0.50) = x + 6 6 + -0.75x + (1 + 0.50x) = x + 6 Reorder the terms: 6 + 1 + -0.75x + 0.50x = x + 6 Combine like terms: 6 + 1 = 7 7 + -0.75x + 0.50x = x + 6 Combine like terms: -0.75x + 0.50x = -0.25x 7 + -0.25x = x + 6 Reorder the terms: 7 + -0.25x = 6 + x Solving 7 + -0.25x = 6 + 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. 7 + -0.25x + -1x = 6 + x + -1x Combine like terms: -0.25x + -1x = -1.25x 7 + -1.25x = 6 + x + -1x Combine like terms: x + -1x = 0 7 + -1.25x = 6 + 0 7 + -1.25x = 6 Add '-7' to each side of the equation. 7 + -7 + -1.25x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -1.25x = 6 + -7 -1.25x = 6 + -7 Combine like terms: 6 + -7 = -1 -1.25x = -1 Divide each side by '-1.25'. x = 0.8 Simplifying x = 0.8
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