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Simplifying 0.5(7x + 48) = 5x + 30 Reorder the terms: 0.5(48 + 7x) = 5x + 30 (48 * 0.5 + 7x * 0.5) = 5x + 30 (24 + 3.5x) = 5x + 30 Reorder the terms: 24 + 3.5x = 30 + 5x Solving 24 + 3.5x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 3.5x + -5x = 30 + 5x + -5x Combine like terms: 3.5x + -5x = -1.5x 24 + -1.5x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -1.5x = 30 + 0 24 + -1.5x = 30 Add '-24' to each side of the equation. 24 + -24 + -1.5x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -1.5x = 30 + -24 -1.5x = 30 + -24 Combine like terms: 30 + -24 = 6 -1.5x = 6 Divide each side by '-1.5'. x = -4 Simplifying x = -4
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