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Simplifying 10(x + 6) = -6(x + -2) Reorder the terms: 10(6 + x) = -6(x + -2) (6 * 10 + x * 10) = -6(x + -2) (60 + 10x) = -6(x + -2) Reorder the terms: 60 + 10x = -6(-2 + x) 60 + 10x = (-2 * -6 + x * -6) 60 + 10x = (12 + -6x) Solving 60 + 10x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 60 + 10x + 6x = 12 + -6x + 6x Combine like terms: 10x + 6x = 16x 60 + 16x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 60 + 16x = 12 + 0 60 + 16x = 12 Add '-60' to each side of the equation. 60 + -60 + 16x = 12 + -60 Combine like terms: 60 + -60 = 0 0 + 16x = 12 + -60 16x = 12 + -60 Combine like terms: 12 + -60 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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