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Simplifying -8(x + -5) + 2 = -7x + 7 Reorder the terms: -8(-5 + x) + 2 = -7x + 7 (-5 * -8 + x * -8) + 2 = -7x + 7 (40 + -8x) + 2 = -7x + 7 Reorder the terms: 40 + 2 + -8x = -7x + 7 Combine like terms: 40 + 2 = 42 42 + -8x = -7x + 7 Reorder the terms: 42 + -8x = 7 + -7x Solving 42 + -8x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 42 + -8x + 7x = 7 + -7x + 7x Combine like terms: -8x + 7x = -1x 42 + -1x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + -1x = 7 + 0 42 + -1x = 7 Add '-42' to each side of the equation. 42 + -42 + -1x = 7 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 7 + -42 -1x = 7 + -42 Combine like terms: 7 + -42 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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