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Simplifying 14x + 13 = 0.25(2x + -32) Reorder the terms: 13 + 14x = 0.25(2x + -32) Reorder the terms: 13 + 14x = 0.25(-32 + 2x) 13 + 14x = (-32 * 0.25 + 2x * 0.25) 13 + 14x = (-8 + 0.5x) Solving 13 + 14x = -8 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 13 + 14x + -0.5x = -8 + 0.5x + -0.5x Combine like terms: 14x + -0.5x = 13.5x 13 + 13.5x = -8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 13 + 13.5x = -8 + 0.0 13 + 13.5x = -8 Add '-13' to each side of the equation. 13 + -13 + 13.5x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + 13.5x = -8 + -13 13.5x = -8 + -13 Combine like terms: -8 + -13 = -21 13.5x = -21 Divide each side by '13.5'. x = -1.555555556 Simplifying x = -1.555555556
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