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Simplifying -80 = 8(7 + -2x) + -1(2x + -8) -80 = (7 * 8 + -2x * 8) + -1(2x + -8) -80 = (56 + -16x) + -1(2x + -8) Reorder the terms: -80 = 56 + -16x + -1(-8 + 2x) -80 = 56 + -16x + (-8 * -1 + 2x * -1) -80 = 56 + -16x + (8 + -2x) Reorder the terms: -80 = 56 + 8 + -16x + -2x Combine like terms: 56 + 8 = 64 -80 = 64 + -16x + -2x Combine like terms: -16x + -2x = -18x -80 = 64 + -18x Solving -80 = 64 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -80 + 18x = 64 + -18x + 18x Combine like terms: -18x + 18x = 0 -80 + 18x = 64 + 0 -80 + 18x = 64 Add '80' to each side of the equation. -80 + 80 + 18x = 64 + 80 Combine like terms: -80 + 80 = 0 0 + 18x = 64 + 80 18x = 64 + 80 Combine like terms: 64 + 80 = 144 18x = 144 Divide each side by '18'. x = 8 Simplifying x = 8
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