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Simplifying 8x + -2 = 0.5(2x + 11) Reorder the terms: -2 + 8x = 0.5(2x + 11) Reorder the terms: -2 + 8x = 0.5(11 + 2x) -2 + 8x = (11 * 0.5 + 2x * 0.5) -2 + 8x = (5.5 + 1x) Solving -2 + 8x = 5.5 + 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. -2 + 8x + -1x = 5.5 + 1x + -1x Combine like terms: 8x + -1x = 7x -2 + 7x = 5.5 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 7x = 5.5 + 0 -2 + 7x = 5.5 Add '2' to each side of the equation. -2 + 2 + 7x = 5.5 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 5.5 + 2 7x = 5.5 + 2 Combine like terms: 5.5 + 2 = 7.5 7x = 7.5 Divide each side by '7'. x = 1.071428571 Simplifying x = 1.071428571
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