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