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Simplifying x + -5(-4x + -9) = x + 1 Reorder the terms: x + -5(-9 + -4x) = x + 1 x + (-9 * -5 + -4x * -5) = x + 1 x + (45 + 20x) = x + 1 Reorder the terms: 45 + x + 20x = x + 1 Combine like terms: x + 20x = 21x 45 + 21x = x + 1 Reorder the terms: 45 + 21x = 1 + x Solving 45 + 21x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 45 + 21x + -1x = 1 + x + -1x Combine like terms: 21x + -1x = 20x 45 + 20x = 1 + x + -1x Combine like terms: x + -1x = 0 45 + 20x = 1 + 0 45 + 20x = 1 Add '-45' to each side of the equation. 45 + -45 + 20x = 1 + -45 Combine like terms: 45 + -45 = 0 0 + 20x = 1 + -45 20x = 1 + -45 Combine like terms: 1 + -45 = -44 20x = -44 Divide each side by '20'. x = -2.2 Simplifying x = -2.2
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