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Simplifying 5.7(x + -4) = -0.3x + 25.2 Reorder the terms: 5.7(-4 + x) = -0.3x + 25.2 (-4 * 5.7 + x * 5.7) = -0.3x + 25.2 (-22.8 + 5.7x) = -0.3x + 25.2 Reorder the terms: -22.8 + 5.7x = 25.2 + -0.3x Solving -22.8 + 5.7x = 25.2 + -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 = 25.2 + -0.3x + 0.3x Combine like terms: 5.7x + 0.3x = 6x -22.8 + 6x = 25.2 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -22.8 + 6x = 25.2 + 0.0 -22.8 + 6x = 25.2 Add '22.8' to each side of the equation. -22.8 + 22.8 + 6x = 25.2 + 22.8 Combine like terms: -22.8 + 22.8 = 0.0 0.0 + 6x = 25.2 + 22.8 6x = 25.2 + 22.8 Combine like terms: 25.2 + 22.8 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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