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Simplifying 0.4(x + -0.5) = 0.25(x + 8) Reorder the terms: 0.4(-0.5 + x) = 0.25(x + 8) (-0.5 * 0.4 + x * 0.4) = 0.25(x + 8) (-0.2 + 0.4x) = 0.25(x + 8) Reorder the terms: -0.2 + 0.4x = 0.25(8 + x) -0.2 + 0.4x = (8 * 0.25 + x * 0.25) -0.2 + 0.4x = (2 + 0.25x) Solving -0.2 + 0.4x = 2 + 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. -0.2 + 0.4x + -0.25x = 2 + 0.25x + -0.25x Combine like terms: 0.4x + -0.25x = 0.15x -0.2 + 0.15x = 2 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -0.2 + 0.15x = 2 + 0.00 -0.2 + 0.15x = 2 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.15x = 2 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.15x = 2 + 0.2 0.15x = 2 + 0.2 Combine like terms: 2 + 0.2 = 2.2 0.15x = 2.2 Divide each side by '0.15'. x = 14.66666667 Simplifying x = 14.66666667
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