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Simplifying 6(x + 6) = 2(-2x + 30) Reorder the terms: 6(6 + x) = 2(-2x + 30) (6 * 6 + x * 6) = 2(-2x + 30) (36 + 6x) = 2(-2x + 30) Reorder the terms: 36 + 6x = 2(30 + -2x) 36 + 6x = (30 * 2 + -2x * 2) 36 + 6x = (60 + -4x) Solving 36 + 6x = 60 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 36 + 6x + 4x = 60 + -4x + 4x Combine like terms: 6x + 4x = 10x 36 + 10x = 60 + -4x + 4x Combine like terms: -4x + 4x = 0 36 + 10x = 60 + 0 36 + 10x = 60 Add '-36' to each side of the equation. 36 + -36 + 10x = 60 + -36 Combine like terms: 36 + -36 = 0 0 + 10x = 60 + -36 10x = 60 + -36 Combine like terms: 60 + -36 = 24 10x = 24 Divide each side by '10'. x = 2.4 Simplifying x = 2.4
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