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Simplifying 0.5(x + -48) = 2 + 7x Reorder the terms: 0.5(-48 + x) = 2 + 7x (-48 * 0.5 + x * 0.5) = 2 + 7x (-24 + 0.5x) = 2 + 7x Solving -24 + 0.5x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 0.5x + -7x = 2 + 7x + -7x Combine like terms: 0.5x + -7x = -6.5x -24 + -6.5x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -6.5x = 2 + 0 -24 + -6.5x = 2 Add '24' to each side of the equation. -24 + 24 + -6.5x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + -6.5x = 2 + 24 -6.5x = 2 + 24 Combine like terms: 2 + 24 = 26 -6.5x = 26 Divide each side by '-6.5'. x = -4 Simplifying x = -4
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