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Simplifying 0.5(7x + 4) = 7 + -1.5x Reorder the terms: 0.5(4 + 7x) = 7 + -1.5x (4 * 0.5 + 7x * 0.5) = 7 + -1.5x (2 + 3.5x) = 7 + -1.5x Solving 2 + 3.5x = 7 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 2 + 3.5x + 1.5x = 7 + -1.5x + 1.5x Combine like terms: 3.5x + 1.5x = 5x 2 + 5x = 7 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 2 + 5x = 7 + 0.0 2 + 5x = 7 Add '-2' to each side of the equation. 2 + -2 + 5x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 7 + -2 5x = 7 + -2 Combine like terms: 7 + -2 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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