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Simplifying 0.5(11 + 17) = -1x + 22 Combine like terms: 11 + 17 = 28 0.5(28) = -1x + 22 Multiply 0.5 * 28 14 = -1x + 22 Reorder the terms: 14 = 22 + -1x Solving 14 = 22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 14 + x = 22 + -1x + x Combine like terms: -1x + x = 0 14 + x = 22 + 0 14 + x = 22 Add '-14' to each side of the equation. 14 + -14 + x = 22 + -14 Combine like terms: 14 + -14 = 0 0 + x = 22 + -14 x = 22 + -14 Combine like terms: 22 + -14 = 8 x = 8 Simplifying x = 8
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