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Simplifying 5x + -7 = 0.5(10 + 2x) Reorder the terms: -7 + 5x = 0.5(10 + 2x) -7 + 5x = (10 * 0.5 + 2x * 0.5) -7 + 5x = (5 + 1x) Solving -7 + 5x = 5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 5x + -1x = 5 + 1x + -1x Combine like terms: 5x + -1x = 4x -7 + 4x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + 4x = 5 + 0 -7 + 4x = 5 Add '7' to each side of the equation. -7 + 7 + 4x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 5 + 7 4x = 5 + 7 Combine like terms: 5 + 7 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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