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Simplifying x + 0.5 = -0.25(4x + -2) Reorder the terms: 0.5 + x = -0.25(4x + -2) Reorder the terms: 0.5 + x = -0.25(-2 + 4x) 0.5 + x = (-2 * -0.25 + 4x * -0.25) 0.5 + x = (0.5 + -1x) Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 0.5 + -0.5 + -1x Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.5 + -0.5 + -1x x = 0.5 + -0.5 + -1x Combine like terms: 0.5 + -0.5 = 0.0 x = 0.0 + -1x x = -1x Solving x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. x + x = -1x + x Combine like terms: x + x = 2x 2x = -1x + x Combine like terms: -1x + x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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