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Simplifying 6x + 68 = -5(2x + -20) Reorder the terms: 68 + 6x = -5(2x + -20) Reorder the terms: 68 + 6x = -5(-20 + 2x) 68 + 6x = (-20 * -5 + 2x * -5) 68 + 6x = (100 + -10x) Solving 68 + 6x = 100 + -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. 68 + 6x + 10x = 100 + -10x + 10x Combine like terms: 6x + 10x = 16x 68 + 16x = 100 + -10x + 10x Combine like terms: -10x + 10x = 0 68 + 16x = 100 + 0 68 + 16x = 100 Add '-68' to each side of the equation. 68 + -68 + 16x = 100 + -68 Combine like terms: 68 + -68 = 0 0 + 16x = 100 + -68 16x = 100 + -68 Combine like terms: 100 + -68 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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