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Simplifying 0.25(-2x + 5) = 13x + 3 Reorder the terms: 0.25(5 + -2x) = 13x + 3 (5 * 0.25 + -2x * 0.25) = 13x + 3 (1.25 + -0.5x) = 13x + 3 Reorder the terms: 1.25 + -0.5x = 3 + 13x Solving 1.25 + -0.5x = 3 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 1.25 + -0.5x + -13x = 3 + 13x + -13x Combine like terms: -0.5x + -13x = -13.5x 1.25 + -13.5x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 1.25 + -13.5x = 3 + 0 1.25 + -13.5x = 3 Add '-1.25' to each side of the equation. 1.25 + -1.25 + -13.5x = 3 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -13.5x = 3 + -1.25 -13.5x = 3 + -1.25 Combine like terms: 3 + -1.25 = 1.75 -13.5x = 1.75 Divide each side by '-13.5'. x = -0.1296296296 Simplifying x = -0.1296296296
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