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Simplifying -3(7x + -5) + 7(2 + 6x) = -55 Reorder the terms: -3(-5 + 7x) + 7(2 + 6x) = -55 (-5 * -3 + 7x * -3) + 7(2 + 6x) = -55 (15 + -21x) + 7(2 + 6x) = -55 15 + -21x + (2 * 7 + 6x * 7) = -55 15 + -21x + (14 + 42x) = -55 Reorder the terms: 15 + 14 + -21x + 42x = -55 Combine like terms: 15 + 14 = 29 29 + -21x + 42x = -55 Combine like terms: -21x + 42x = 21x 29 + 21x = -55 Solving 29 + 21x = -55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 21x = -55 + -29 Combine like terms: 29 + -29 = 0 0 + 21x = -55 + -29 21x = -55 + -29 Combine like terms: -55 + -29 = -84 21x = -84 Divide each side by '21'. x = -4 Simplifying x = -4
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