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Simplifying 0.12x + -0.5 = 0.25(x + -4) Reorder the terms: -0.5 + 0.12x = 0.25(x + -4) Reorder the terms: -0.5 + 0.12x = 0.25(-4 + x) -0.5 + 0.12x = (-4 * 0.25 + x * 0.25) -0.5 + 0.12x = (-1 + 0.25x) Solving -0.5 + 0.12x = -1 + 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 + 0.12x + -0.25x = -1 + 0.25x + -0.25x Combine like terms: 0.12x + -0.25x = -0.13x -0.5 + -0.13x = -1 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -0.5 + -0.13x = -1 + 0.00 -0.5 + -0.13x = -1 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.13x = -1 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.13x = -1 + 0.5 -0.13x = -1 + 0.5 Combine like terms: -1 + 0.5 = -0.5 -0.13x = -0.5 Divide each side by '-0.13'. x = 3.846153846 Simplifying x = 3.846153846
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