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Simplifying 42 = 0.5(2x + -5) + 30 Reorder the terms: 42 = 0.5(-5 + 2x) + 30 42 = (-5 * 0.5 + 2x * 0.5) + 30 42 = (-2.5 + 1x) + 30 Reorder the terms: 42 = -2.5 + 30 + 1x Combine like terms: -2.5 + 30 = 27.5 42 = 27.5 + 1x Solving 42 = 27.5 + 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. 42 + -1x = 27.5 + 1x + -1x Combine like terms: 1x + -1x = 0 42 + -1x = 27.5 + 0 42 + -1x = 27.5 Add '-42' to each side of the equation. 42 + -42 + -1x = 27.5 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 27.5 + -42 -1x = 27.5 + -42 Combine like terms: 27.5 + -42 = -14.5 -1x = -14.5 Divide each side by '-1'. x = 14.5 Simplifying x = 14.5
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