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Simplifying 7.5(x + -4) = -0.5x + 34 Reorder the terms: 7.5(-4 + x) = -0.5x + 34 (-4 * 7.5 + x * 7.5) = -0.5x + 34 (-30 + 7.5x) = -0.5x + 34 Reorder the terms: -30 + 7.5x = 34 + -0.5x Solving -30 + 7.5x = 34 + -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. -30 + 7.5x + 0.5x = 34 + -0.5x + 0.5x Combine like terms: 7.5x + 0.5x = 8x -30 + 8x = 34 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -30 + 8x = 34 + 0.0 -30 + 8x = 34 Add '30' to each side of the equation. -30 + 30 + 8x = 34 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 34 + 30 8x = 34 + 30 Combine like terms: 34 + 30 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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