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Simplifying -1(x + -8) + -1(7x + -5) = 21 Reorder the terms: -1(-8 + x) + -1(7x + -5) = 21 (-8 * -1 + x * -1) + -1(7x + -5) = 21 (8 + -1x) + -1(7x + -5) = 21 Reorder the terms: 8 + -1x + -1(-5 + 7x) = 21 8 + -1x + (-5 * -1 + 7x * -1) = 21 8 + -1x + (5 + -7x) = 21 Reorder the terms: 8 + 5 + -1x + -7x = 21 Combine like terms: 8 + 5 = 13 13 + -1x + -7x = 21 Combine like terms: -1x + -7x = -8x 13 + -8x = 21 Solving 13 + -8x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8x = 21 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = 21 + -13 -8x = 21 + -13 Combine like terms: 21 + -13 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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