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Simplifying 4(3x + 5) + -2(4x + -1) = 2x + 20 Reorder the terms: 4(5 + 3x) + -2(4x + -1) = 2x + 20 (5 * 4 + 3x * 4) + -2(4x + -1) = 2x + 20 (20 + 12x) + -2(4x + -1) = 2x + 20 Reorder the terms: 20 + 12x + -2(-1 + 4x) = 2x + 20 20 + 12x + (-1 * -2 + 4x * -2) = 2x + 20 20 + 12x + (2 + -8x) = 2x + 20 Reorder the terms: 20 + 2 + 12x + -8x = 2x + 20 Combine like terms: 20 + 2 = 22 22 + 12x + -8x = 2x + 20 Combine like terms: 12x + -8x = 4x 22 + 4x = 2x + 20 Reorder the terms: 22 + 4x = 20 + 2x Solving 22 + 4x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 22 + 4x + -2x = 20 + 2x + -2x Combine like terms: 4x + -2x = 2x 22 + 2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 22 + 2x = 20 + 0 22 + 2x = 20 Add '-22' to each side of the equation. 22 + -22 + 2x = 20 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 20 + -22 2x = 20 + -22 Combine like terms: 20 + -22 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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