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Simplifying 6(x + 2) + 8(6x + -6) = 18 Reorder the terms: 6(2 + x) + 8(6x + -6) = 18 (2 * 6 + x * 6) + 8(6x + -6) = 18 (12 + 6x) + 8(6x + -6) = 18 Reorder the terms: 12 + 6x + 8(-6 + 6x) = 18 12 + 6x + (-6 * 8 + 6x * 8) = 18 12 + 6x + (-48 + 48x) = 18 Reorder the terms: 12 + -48 + 6x + 48x = 18 Combine like terms: 12 + -48 = -36 -36 + 6x + 48x = 18 Combine like terms: 6x + 48x = 54x -36 + 54x = 18 Solving -36 + 54x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 54x = 18 + 36 Combine like terms: -36 + 36 = 0 0 + 54x = 18 + 36 54x = 18 + 36 Combine like terms: 18 + 36 = 54 54x = 54 Divide each side by '54'. x = 1 Simplifying x = 1
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