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Simplifying 416 = -2x + 8(6 + 6x) 416 = -2x + (6 * 8 + 6x * 8) 416 = -2x + (48 + 48x) Reorder the terms: 416 = 48 + -2x + 48x Combine like terms: -2x + 48x = 46x 416 = 48 + 46x Solving 416 = 48 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. 416 + -46x = 48 + 46x + -46x Combine like terms: 46x + -46x = 0 416 + -46x = 48 + 0 416 + -46x = 48 Add '-416' to each side of the equation. 416 + -416 + -46x = 48 + -416 Combine like terms: 416 + -416 = 0 0 + -46x = 48 + -416 -46x = 48 + -416 Combine like terms: 48 + -416 = -368 -46x = -368 Divide each side by '-46'. x = 8 Simplifying x = 8
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