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Simplifying 0.5(7x + -2) + 5 = 2x + 7 Reorder the terms: 0.5(-2 + 7x) + 5 = 2x + 7 (-2 * 0.5 + 7x * 0.5) + 5 = 2x + 7 (-1 + 3.5x) + 5 = 2x + 7 Reorder the terms: -1 + 5 + 3.5x = 2x + 7 Combine like terms: -1 + 5 = 4 4 + 3.5x = 2x + 7 Reorder the terms: 4 + 3.5x = 7 + 2x Solving 4 + 3.5x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 3.5x + -2x = 7 + 2x + -2x Combine like terms: 3.5x + -2x = 1.5x 4 + 1.5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 1.5x = 7 + 0 4 + 1.5x = 7 Add '-4' to each side of the equation. 4 + -4 + 1.5x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 1.5x = 7 + -4 1.5x = 7 + -4 Combine like terms: 7 + -4 = 3 1.5x = 3 Divide each side by '1.5'. x = 2 Simplifying x = 2
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