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Simplifying 0.5(7x + -2) = 2x + 7 Reorder the terms: 0.5(-2 + 7x) = 2x + 7 (-2 * 0.5 + 7x * 0.5) = 2x + 7 (-1 + 3.5x) = 2x + 7 Reorder the terms: -1 + 3.5x = 7 + 2x Solving -1 + 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. -1 + 3.5x + -2x = 7 + 2x + -2x Combine like terms: 3.5x + -2x = 1.5x -1 + 1.5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 1.5x = 7 + 0 -1 + 1.5x = 7 Add '1' to each side of the equation. -1 + 1 + 1.5x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 1.5x = 7 + 1 1.5x = 7 + 1 Combine like terms: 7 + 1 = 8 1.5x = 8 Divide each side by '1.5'. x = 5.333333333 Simplifying x = 5.333333333
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