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Simplifying 0.375(x + 4) = 0.5x + 4 Reorder the terms: 0.375(4 + x) = 0.5x + 4 (4 * 0.375 + x * 0.375) = 0.5x + 4 (1.5 + 0.375x) = 0.5x + 4 Reorder the terms: 1.5 + 0.375x = 4 + 0.5x Solving 1.5 + 0.375x = 4 + 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. 1.5 + 0.375x + -0.5x = 4 + 0.5x + -0.5x Combine like terms: 0.375x + -0.5x = -0.125x 1.5 + -0.125x = 4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.5 + -0.125x = 4 + 0.0 1.5 + -0.125x = 4 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.125x = 4 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.125x = 4 + -1.5 -0.125x = 4 + -1.5 Combine like terms: 4 + -1.5 = 2.5 -0.125x = 2.5 Divide each side by '-0.125'. x = -20 Simplifying x = -20
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