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Simplifying -6(-7x + -2) + 1 = 37 + -8(-7x + 3) Reorder the terms: -6(-2 + -7x) + 1 = 37 + -8(-7x + 3) (-2 * -6 + -7x * -6) + 1 = 37 + -8(-7x + 3) (12 + 42x) + 1 = 37 + -8(-7x + 3) Reorder the terms: 12 + 1 + 42x = 37 + -8(-7x + 3) Combine like terms: 12 + 1 = 13 13 + 42x = 37 + -8(-7x + 3) Reorder the terms: 13 + 42x = 37 + -8(3 + -7x) 13 + 42x = 37 + (3 * -8 + -7x * -8) 13 + 42x = 37 + (-24 + 56x) Combine like terms: 37 + -24 = 13 13 + 42x = 13 + 56x Add '-13' to each side of the equation. 13 + -13 + 42x = 13 + -13 + 56x Combine like terms: 13 + -13 = 0 0 + 42x = 13 + -13 + 56x 42x = 13 + -13 + 56x Combine like terms: 13 + -13 = 0 42x = 0 + 56x 42x = 56x Solving 42x = 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 42x + -56x = 56x + -56x Combine like terms: 42x + -56x = -14x -14x = 56x + -56x Combine like terms: 56x + -56x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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