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Simplifying 6(x + 6) = 7x + 32 Reorder the terms: 6(6 + x) = 7x + 32 (6 * 6 + x * 6) = 7x + 32 (36 + 6x) = 7x + 32 Reorder the terms: 36 + 6x = 32 + 7x Solving 36 + 6x = 32 + 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. 36 + 6x + -7x = 32 + 7x + -7x Combine like terms: 6x + -7x = -1x 36 + -1x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + -1x = 32 + 0 36 + -1x = 32 Add '-36' to each side of the equation. 36 + -36 + -1x = 32 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 32 + -36 -1x = 32 + -36 Combine like terms: 32 + -36 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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