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Simplifying 10(x + 6) = 18(x + -2) Reorder the terms: 10(6 + x) = 18(x + -2) (6 * 10 + x * 10) = 18(x + -2) (60 + 10x) = 18(x + -2) Reorder the terms: 60 + 10x = 18(-2 + x) 60 + 10x = (-2 * 18 + x * 18) 60 + 10x = (-36 + 18x) Solving 60 + 10x = -36 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 60 + 10x + -18x = -36 + 18x + -18x Combine like terms: 10x + -18x = -8x 60 + -8x = -36 + 18x + -18x Combine like terms: 18x + -18x = 0 60 + -8x = -36 + 0 60 + -8x = -36 Add '-60' to each side of the equation. 60 + -60 + -8x = -36 + -60 Combine like terms: 60 + -60 = 0 0 + -8x = -36 + -60 -8x = -36 + -60 Combine like terms: -36 + -60 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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