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Simplifying 4(5x + 3) + 2(2x + 2) = 5x + -41 Reorder the terms: 4(3 + 5x) + 2(2x + 2) = 5x + -41 (3 * 4 + 5x * 4) + 2(2x + 2) = 5x + -41 (12 + 20x) + 2(2x + 2) = 5x + -41 Reorder the terms: 12 + 20x + 2(2 + 2x) = 5x + -41 12 + 20x + (2 * 2 + 2x * 2) = 5x + -41 12 + 20x + (4 + 4x) = 5x + -41 Reorder the terms: 12 + 4 + 20x + 4x = 5x + -41 Combine like terms: 12 + 4 = 16 16 + 20x + 4x = 5x + -41 Combine like terms: 20x + 4x = 24x 16 + 24x = 5x + -41 Reorder the terms: 16 + 24x = -41 + 5x Solving 16 + 24x = -41 + 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. 16 + 24x + -5x = -41 + 5x + -5x Combine like terms: 24x + -5x = 19x 16 + 19x = -41 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 19x = -41 + 0 16 + 19x = -41 Add '-16' to each side of the equation. 16 + -16 + 19x = -41 + -16 Combine like terms: 16 + -16 = 0 0 + 19x = -41 + -16 19x = -41 + -16 Combine like terms: -41 + -16 = -57 19x = -57 Divide each side by '19'. x = -3 Simplifying x = -3
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