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Simplifying 5.7(x + -4) = 0.3x + 19.2 Reorder the terms: 5.7(-4 + x) = 0.3x + 19.2 (-4 * 5.7 + x * 5.7) = 0.3x + 19.2 (-22.8 + 5.7x) = 0.3x + 19.2 Reorder the terms: -22.8 + 5.7x = 19.2 + 0.3x Solving -22.8 + 5.7x = 19.2 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -22.8 + 5.7x + -0.3x = 19.2 + 0.3x + -0.3x Combine like terms: 5.7x + -0.3x = 5.4x -22.8 + 5.4x = 19.2 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -22.8 + 5.4x = 19.2 + 0.0 -22.8 + 5.4x = 19.2 Add '22.8' to each side of the equation. -22.8 + 22.8 + 5.4x = 19.2 + 22.8 Combine like terms: -22.8 + 22.8 = 0.0 0.0 + 5.4x = 19.2 + 22.8 5.4x = 19.2 + 22.8 Combine like terms: 19.2 + 22.8 = 42 5.4x = 42 Divide each side by '5.4'. x = 7.777777778 Simplifying x = 7.777777778
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