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Simplifying -0.2(x + 10) + -0.25(x + -4) = x + 8 Reorder the terms: -0.2(10 + x) + -0.25(x + -4) = x + 8 (10 * -0.2 + x * -0.2) + -0.25(x + -4) = x + 8 (-2 + -0.2x) + -0.25(x + -4) = x + 8 Reorder the terms: -2 + -0.2x + -0.25(-4 + x) = x + 8 -2 + -0.2x + (-4 * -0.25 + x * -0.25) = x + 8 -2 + -0.2x + (1 + -0.25x) = x + 8 Reorder the terms: -2 + 1 + -0.2x + -0.25x = x + 8 Combine like terms: -2 + 1 = -1 -1 + -0.2x + -0.25x = x + 8 Combine like terms: -0.2x + -0.25x = -0.45x -1 + -0.45x = x + 8 Reorder the terms: -1 + -0.45x = 8 + x Solving -1 + -0.45x = 8 + 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 + -0.45x + -1x = 8 + x + -1x Combine like terms: -0.45x + -1x = -1.45x -1 + -1.45x = 8 + x + -1x Combine like terms: x + -1x = 0 -1 + -1.45x = 8 + 0 -1 + -1.45x = 8 Add '1' to each side of the equation. -1 + 1 + -1.45x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -1.45x = 8 + 1 -1.45x = 8 + 1 Combine like terms: 8 + 1 = 9 -1.45x = 9 Divide each side by '-1.45'. x = -6.206896552 Simplifying x = -6.206896552
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