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Simplifying -28 = -8(-5x + 8) + -1(-1x + 5) Reorder the terms: -28 = -8(8 + -5x) + -1(-1x + 5) -28 = (8 * -8 + -5x * -8) + -1(-1x + 5) -28 = (-64 + 40x) + -1(-1x + 5) Reorder the terms: -28 = -64 + 40x + -1(5 + -1x) -28 = -64 + 40x + (5 * -1 + -1x * -1) -28 = -64 + 40x + (-5 + 1x) Reorder the terms: -28 = -64 + -5 + 40x + 1x Combine like terms: -64 + -5 = -69 -28 = -69 + 40x + 1x Combine like terms: 40x + 1x = 41x -28 = -69 + 41x Solving -28 = -69 + 41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41x' to each side of the equation. -28 + -41x = -69 + 41x + -41x Combine like terms: 41x + -41x = 0 -28 + -41x = -69 + 0 -28 + -41x = -69 Add '28' to each side of the equation. -28 + 28 + -41x = -69 + 28 Combine like terms: -28 + 28 = 0 0 + -41x = -69 + 28 -41x = -69 + 28 Combine like terms: -69 + 28 = -41 -41x = -41 Divide each side by '-41'. x = 1 Simplifying x = 1
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