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Simplifying 3(-2x + 20) = -6x + 60 + -1(-1x + 1) Reorder the terms: 3(20 + -2x) = -6x + 60 + -1(-1x + 1) (20 * 3 + -2x * 3) = -6x + 60 + -1(-1x + 1) (60 + -6x) = -6x + 60 + -1(-1x + 1) Reorder the terms: 60 + -6x = -6x + 60 + -1(1 + -1x) 60 + -6x = -6x + 60 + (1 * -1 + -1x * -1) 60 + -6x = -6x + 60 + (-1 + 1x) Reorder the terms: 60 + -6x = 60 + -1 + -6x + 1x Combine like terms: 60 + -1 = 59 60 + -6x = 59 + -6x + 1x Combine like terms: -6x + 1x = -5x 60 + -6x = 59 + -5x Solving 60 + -6x = 59 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 60 + -6x + 5x = 59 + -5x + 5x Combine like terms: -6x + 5x = -1x 60 + -1x = 59 + -5x + 5x Combine like terms: -5x + 5x = 0 60 + -1x = 59 + 0 60 + -1x = 59 Add '-60' to each side of the equation. 60 + -60 + -1x = 59 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 59 + -60 -1x = 59 + -60 Combine like terms: 59 + -60 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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