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Simplifying -25(x + -8) + 0.5(x + 2) = x + 9 Reorder the terms: -25(-8 + x) + 0.5(x + 2) = x + 9 (-8 * -25 + x * -25) + 0.5(x + 2) = x + 9 (200 + -25x) + 0.5(x + 2) = x + 9 Reorder the terms: 200 + -25x + 0.5(2 + x) = x + 9 200 + -25x + (2 * 0.5 + x * 0.5) = x + 9 200 + -25x + (1 + 0.5x) = x + 9 Reorder the terms: 200 + 1 + -25x + 0.5x = x + 9 Combine like terms: 200 + 1 = 201 201 + -25x + 0.5x = x + 9 Combine like terms: -25x + 0.5x = -24.5x 201 + -24.5x = x + 9 Reorder the terms: 201 + -24.5x = 9 + x Solving 201 + -24.5x = 9 + 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. 201 + -24.5x + -1x = 9 + x + -1x Combine like terms: -24.5x + -1x = -25.5x 201 + -25.5x = 9 + x + -1x Combine like terms: x + -1x = 0 201 + -25.5x = 9 + 0 201 + -25.5x = 9 Add '-201' to each side of the equation. 201 + -201 + -25.5x = 9 + -201 Combine like terms: 201 + -201 = 0 0 + -25.5x = 9 + -201 -25.5x = 9 + -201 Combine like terms: 9 + -201 = -192 -25.5x = -192 Divide each side by '-25.5'. x = 7.529411765 Simplifying x = 7.529411765
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