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Simplifying 0.25x + -0.5 = 1.15x + 0.10 Reorder the terms: -0.5 + 0.25x = 1.15x + 0.10 Reorder the terms: -0.5 + 0.25x = 0.10 + 1.15x Solving -0.5 + 0.25x = 0.10 + 1.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.15x' to each side of the equation. -0.5 + 0.25x + -1.15x = 0.10 + 1.15x + -1.15x Combine like terms: 0.25x + -1.15x = -0.9x -0.5 + -0.9x = 0.10 + 1.15x + -1.15x Combine like terms: 1.15x + -1.15x = 0.00 -0.5 + -0.9x = 0.10 + 0.00 -0.5 + -0.9x = 0.10 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.9x = 0.10 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.9x = 0.10 + 0.5 -0.9x = 0.10 + 0.5 Combine like terms: 0.10 + 0.5 = 0.6 -0.9x = 0.6 Divide each side by '-0.9'. x = -0.6666666667 Simplifying x = -0.6666666667
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