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Simplifying -0.04x + 0.25(x + -4) = 0.5(x + -2) Reorder the terms: -0.04x + 0.25(-4 + x) = 0.5(x + -2) -0.04x + (-4 * 0.25 + x * 0.25) = 0.5(x + -2) -0.04x + (-1 + 0.25x) = 0.5(x + -2) Reorder the terms: -1 + -0.04x + 0.25x = 0.5(x + -2) Combine like terms: -0.04x + 0.25x = 0.21x -1 + 0.21x = 0.5(x + -2) Reorder the terms: -1 + 0.21x = 0.5(-2 + x) -1 + 0.21x = (-2 * 0.5 + x * 0.5) -1 + 0.21x = (-1 + 0.5x) Add '1' to each side of the equation. -1 + 1 + 0.21x = -1 + 1 + 0.5x Combine like terms: -1 + 1 = 0 0 + 0.21x = -1 + 1 + 0.5x 0.21x = -1 + 1 + 0.5x Combine like terms: -1 + 1 = 0 0.21x = 0 + 0.5x 0.21x = 0.5x Solving 0.21x = 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. 0.21x + -0.5x = 0.5x + -0.5x Combine like terms: 0.21x + -0.5x = -0.29x -0.29x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.29x = 0.0 Divide each side by '-0.29'. x = 0 Simplifying x = 0
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