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Simplifying 3(-2x + 20) = -3(3x + 1) + -1(-1x + 1) Reorder the terms: 3(20 + -2x) = -3(3x + 1) + -1(-1x + 1) (20 * 3 + -2x * 3) = -3(3x + 1) + -1(-1x + 1) (60 + -6x) = -3(3x + 1) + -1(-1x + 1) Reorder the terms: 60 + -6x = -3(1 + 3x) + -1(-1x + 1) 60 + -6x = (1 * -3 + 3x * -3) + -1(-1x + 1) 60 + -6x = (-3 + -9x) + -1(-1x + 1) Reorder the terms: 60 + -6x = -3 + -9x + -1(1 + -1x) 60 + -6x = -3 + -9x + (1 * -1 + -1x * -1) 60 + -6x = -3 + -9x + (-1 + 1x) Reorder the terms: 60 + -6x = -3 + -1 + -9x + 1x Combine like terms: -3 + -1 = -4 60 + -6x = -4 + -9x + 1x Combine like terms: -9x + 1x = -8x 60 + -6x = -4 + -8x Solving 60 + -6x = -4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 60 + -6x + 8x = -4 + -8x + 8x Combine like terms: -6x + 8x = 2x 60 + 2x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 60 + 2x = -4 + 0 60 + 2x = -4 Add '-60' to each side of the equation. 60 + -60 + 2x = -4 + -60 Combine like terms: 60 + -60 = 0 0 + 2x = -4 + -60 2x = -4 + -60 Combine like terms: -4 + -60 = -64 2x = -64 Divide each side by '2'. x = -32 Simplifying x = -32
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