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Simplifying 0.375(x + -4) = 1.125x Reorder the terms: 0.375(-4 + x) = 1.125x (-4 * 0.375 + x * 0.375) = 1.125x (-1.5 + 0.375x) = 1.125x Solving -1.5 + 0.375x = 1.125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.125x' to each side of the equation. -1.5 + 0.375x + -1.125x = 1.125x + -1.125x Combine like terms: 0.375x + -1.125x = -0.75x -1.5 + -0.75x = 1.125x + -1.125x Combine like terms: 1.125x + -1.125x = 0.000 -1.5 + -0.75x = 0.000 Add '1.5' to each side of the equation. -1.5 + 1.5 + -0.75x = 0.000 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -0.75x = 0.000 + 1.5 -0.75x = 0.000 + 1.5 Combine like terms: 0.000 + 1.5 = 1.5 -0.75x = 1.5 Divide each side by '-0.75'. x = -2 Simplifying x = -2
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