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Simplifying 5(7x + 7) = 6(-2x + -2) Reorder the terms: 5(7 + 7x) = 6(-2x + -2) (7 * 5 + 7x * 5) = 6(-2x + -2) (35 + 35x) = 6(-2x + -2) Reorder the terms: 35 + 35x = 6(-2 + -2x) 35 + 35x = (-2 * 6 + -2x * 6) 35 + 35x = (-12 + -12x) Solving 35 + 35x = -12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 35 + 35x + 12x = -12 + -12x + 12x Combine like terms: 35x + 12x = 47x 35 + 47x = -12 + -12x + 12x Combine like terms: -12x + 12x = 0 35 + 47x = -12 + 0 35 + 47x = -12 Add '-35' to each side of the equation. 35 + -35 + 47x = -12 + -35 Combine like terms: 35 + -35 = 0 0 + 47x = -12 + -35 47x = -12 + -35 Combine like terms: -12 + -35 = -47 47x = -47 Divide each side by '47'. x = -1 Simplifying x = -1
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