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Simplifying 7.5(x + -3) = -0.5x + 33.5 Reorder the terms: 7.5(-3 + x) = -0.5x + 33.5 (-3 * 7.5 + x * 7.5) = -0.5x + 33.5 (-22.5 + 7.5x) = -0.5x + 33.5 Reorder the terms: -22.5 + 7.5x = 33.5 + -0.5x Solving -22.5 + 7.5x = 33.5 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -22.5 + 7.5x + 0.5x = 33.5 + -0.5x + 0.5x Combine like terms: 7.5x + 0.5x = 8x -22.5 + 8x = 33.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -22.5 + 8x = 33.5 + 0.0 -22.5 + 8x = 33.5 Add '22.5' to each side of the equation. -22.5 + 22.5 + 8x = 33.5 + 22.5 Combine like terms: -22.5 + 22.5 = 0.0 0.0 + 8x = 33.5 + 22.5 8x = 33.5 + 22.5 Combine like terms: 33.5 + 22.5 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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