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Simplifying 6(x + 6) = 5(-2x + -2) + -5.2 Reorder the terms: 6(6 + x) = 5(-2x + -2) + -5.2 (6 * 6 + x * 6) = 5(-2x + -2) + -5.2 (36 + 6x) = 5(-2x + -2) + -5.2 Reorder the terms: 36 + 6x = 5(-2 + -2x) + -5.2 36 + 6x = (-2 * 5 + -2x * 5) + -5.2 36 + 6x = (-10 + -10x) + -5.2 Reorder the terms: 36 + 6x = -10 + -5.2 + -10x Combine like terms: -10 + -5.2 = -15.2 36 + 6x = -15.2 + -10x Solving 36 + 6x = -15.2 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 36 + 6x + 10x = -15.2 + -10x + 10x Combine like terms: 6x + 10x = 16x 36 + 16x = -15.2 + -10x + 10x Combine like terms: -10x + 10x = 0 36 + 16x = -15.2 + 0 36 + 16x = -15.2 Add '-36' to each side of the equation. 36 + -36 + 16x = -15.2 + -36 Combine like terms: 36 + -36 = 0 0 + 16x = -15.2 + -36 16x = -15.2 + -36 Combine like terms: -15.2 + -36 = -51.2 16x = -51.2 Divide each side by '16'. x = -3.2 Simplifying x = -3.2
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