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Simplifying 7.7(x + -1) = -0.3x + 32.3 Reorder the terms: 7.7(-1 + x) = -0.3x + 32.3 (-1 * 7.7 + x * 7.7) = -0.3x + 32.3 (-7.7 + 7.7x) = -0.3x + 32.3 Reorder the terms: -7.7 + 7.7x = 32.3 + -0.3x Solving -7.7 + 7.7x = 32.3 + -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. -7.7 + 7.7x + 0.3x = 32.3 + -0.3x + 0.3x Combine like terms: 7.7x + 0.3x = 8x -7.7 + 8x = 32.3 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -7.7 + 8x = 32.3 + 0.0 -7.7 + 8x = 32.3 Add '7.7' to each side of the equation. -7.7 + 7.7 + 8x = 32.3 + 7.7 Combine like terms: -7.7 + 7.7 = 0.0 0.0 + 8x = 32.3 + 7.7 8x = 32.3 + 7.7 Combine like terms: 32.3 + 7.7 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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