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Simplifying -2x + 4(2x + 22) = 46 Reorder the terms: -2x + 4(22 + 2x) = 46 -2x + (22 * 4 + 2x * 4) = 46 -2x + (88 + 8x) = 46 Reorder the terms: 88 + -2x + 8x = 46 Combine like terms: -2x + 8x = 6x 88 + 6x = 46 Solving 88 + 6x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-88' to each side of the equation. 88 + -88 + 6x = 46 + -88 Combine like terms: 88 + -88 = 0 0 + 6x = 46 + -88 6x = 46 + -88 Combine like terms: 46 + -88 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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