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Simplifying 7.5(x + -2) = -0.5x + 33 Reorder the terms: 7.5(-2 + x) = -0.5x + 33 (-2 * 7.5 + x * 7.5) = -0.5x + 33 (-15 + 7.5x) = -0.5x + 33 Reorder the terms: -15 + 7.5x = 33 + -0.5x Solving -15 + 7.5x = 33 + -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. -15 + 7.5x + 0.5x = 33 + -0.5x + 0.5x Combine like terms: 7.5x + 0.5x = 8x -15 + 8x = 33 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -15 + 8x = 33 + 0.0 -15 + 8x = 33 Add '15' to each side of the equation. -15 + 15 + 8x = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 33 + 15 8x = 33 + 15 Combine like terms: 33 + 15 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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