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Simplifying 0.75(x + -2) + -1 = 8x + 10 Reorder the terms: 0.75(-2 + x) + -1 = 8x + 10 (-2 * 0.75 + x * 0.75) + -1 = 8x + 10 (-1.5 + 0.75x) + -1 = 8x + 10 Reorder the terms: -1.5 + -1 + 0.75x = 8x + 10 Combine like terms: -1.5 + -1 = -2.5 -2.5 + 0.75x = 8x + 10 Reorder the terms: -2.5 + 0.75x = 10 + 8x Solving -2.5 + 0.75x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2.5 + 0.75x + -8x = 10 + 8x + -8x Combine like terms: 0.75x + -8x = -7.25x -2.5 + -7.25x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -2.5 + -7.25x = 10 + 0 -2.5 + -7.25x = 10 Add '2.5' to each side of the equation. -2.5 + 2.5 + -7.25x = 10 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -7.25x = 10 + 2.5 -7.25x = 10 + 2.5 Combine like terms: 10 + 2.5 = 12.5 -7.25x = 12.5 Divide each side by '-7.25'. x = -1.724137931 Simplifying x = -1.724137931
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