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Simplifying 4x + 0.5 = 0.25(x + -3) Reorder the terms: 0.5 + 4x = 0.25(x + -3) Reorder the terms: 0.5 + 4x = 0.25(-3 + x) 0.5 + 4x = (-3 * 0.25 + x * 0.25) 0.5 + 4x = (-0.75 + 0.25x) Solving 0.5 + 4x = -0.75 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 0.5 + 4x + -0.25x = -0.75 + 0.25x + -0.25x Combine like terms: 4x + -0.25x = 3.75x 0.5 + 3.75x = -0.75 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 0.5 + 3.75x = -0.75 + 0.00 0.5 + 3.75x = -0.75 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 3.75x = -0.75 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 3.75x = -0.75 + -0.5 3.75x = -0.75 + -0.5 Combine like terms: -0.75 + -0.5 = -1.25 3.75x = -1.25 Divide each side by '3.75'. x = -0.3333333333 Simplifying x = -0.3333333333
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