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Simplifying 0.5x + 2 = 0.375x + -1 Reorder the terms: 2 + 0.5x = 0.375x + -1 Reorder the terms: 2 + 0.5x = -1 + 0.375x Solving 2 + 0.5x = -1 + 0.375x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.375x' to each side of the equation. 2 + 0.5x + -0.375x = -1 + 0.375x + -0.375x Combine like terms: 0.5x + -0.375x = 0.125x 2 + 0.125x = -1 + 0.375x + -0.375x Combine like terms: 0.375x + -0.375x = 0.000 2 + 0.125x = -1 + 0.000 2 + 0.125x = -1 Add '-2' to each side of the equation. 2 + -2 + 0.125x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 0.125x = -1 + -2 0.125x = -1 + -2 Combine like terms: -1 + -2 = -3 0.125x = -3 Divide each side by '0.125'. x = -24 Simplifying x = -24
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