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Simplifying 6(x + 9) = 7x + 46 Reorder the terms: 6(9 + x) = 7x + 46 (9 * 6 + x * 6) = 7x + 46 (54 + 6x) = 7x + 46 Reorder the terms: 54 + 6x = 46 + 7x Solving 54 + 6x = 46 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 54 + 6x + -7x = 46 + 7x + -7x Combine like terms: 6x + -7x = -1x 54 + -1x = 46 + 7x + -7x Combine like terms: 7x + -7x = 0 54 + -1x = 46 + 0 54 + -1x = 46 Add '-54' to each side of the equation. 54 + -54 + -1x = 46 + -54 Combine like terms: 54 + -54 = 0 0 + -1x = 46 + -54 -1x = 46 + -54 Combine like terms: 46 + -54 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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