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Simplifying -42 = 8(5 + -7x) + -6(x + -7) -42 = (5 * 8 + -7x * 8) + -6(x + -7) -42 = (40 + -56x) + -6(x + -7) Reorder the terms: -42 = 40 + -56x + -6(-7 + x) -42 = 40 + -56x + (-7 * -6 + x * -6) -42 = 40 + -56x + (42 + -6x) Reorder the terms: -42 = 40 + 42 + -56x + -6x Combine like terms: 40 + 42 = 82 -42 = 82 + -56x + -6x Combine like terms: -56x + -6x = -62x -42 = 82 + -62x Solving -42 = 82 + -62x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '62x' to each side of the equation. -42 + 62x = 82 + -62x + 62x Combine like terms: -62x + 62x = 0 -42 + 62x = 82 + 0 -42 + 62x = 82 Add '42' to each side of the equation. -42 + 42 + 62x = 82 + 42 Combine like terms: -42 + 42 = 0 0 + 62x = 82 + 42 62x = 82 + 42 Combine like terms: 82 + 42 = 124 62x = 124 Divide each side by '62'. x = 2 Simplifying x = 2
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