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Simplifying 0.25x + -0.8 = 0.15x + 1 + -0.8x Reorder the terms: -0.8 + 0.25x = 0.15x + 1 + -0.8x Reorder the terms: -0.8 + 0.25x = 1 + 0.15x + -0.8x Combine like terms: 0.15x + -0.8x = -0.65x -0.8 + 0.25x = 1 + -0.65x Solving -0.8 + 0.25x = 1 + -0.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.65x' to each side of the equation. -0.8 + 0.25x + 0.65x = 1 + -0.65x + 0.65x Combine like terms: 0.25x + 0.65x = 0.9x -0.8 + 0.9x = 1 + -0.65x + 0.65x Combine like terms: -0.65x + 0.65x = 0.00 -0.8 + 0.9x = 1 + 0.00 -0.8 + 0.9x = 1 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.9x = 1 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.9x = 1 + 0.8 0.9x = 1 + 0.8 Combine like terms: 1 + 0.8 = 1.8 0.9x = 1.8 Divide each side by '0.9'. x = 2 Simplifying x = 2
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