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Simplifying 5.7(x + -1) = -0.3x + 42.3 Reorder the terms: 5.7(-1 + x) = -0.3x + 42.3 (-1 * 5.7 + x * 5.7) = -0.3x + 42.3 (-5.7 + 5.7x) = -0.3x + 42.3 Reorder the terms: -5.7 + 5.7x = 42.3 + -0.3x Solving -5.7 + 5.7x = 42.3 + -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. -5.7 + 5.7x + 0.3x = 42.3 + -0.3x + 0.3x Combine like terms: 5.7x + 0.3x = 6x -5.7 + 6x = 42.3 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -5.7 + 6x = 42.3 + 0.0 -5.7 + 6x = 42.3 Add '5.7' to each side of the equation. -5.7 + 5.7 + 6x = 42.3 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + 6x = 42.3 + 5.7 6x = 42.3 + 5.7 Combine like terms: 42.3 + 5.7 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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