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Simplifying 4(5x + 3) + 3(2x + -2) = 5x + -57 Reorder the terms: 4(3 + 5x) + 3(2x + -2) = 5x + -57 (3 * 4 + 5x * 4) + 3(2x + -2) = 5x + -57 (12 + 20x) + 3(2x + -2) = 5x + -57 Reorder the terms: 12 + 20x + 3(-2 + 2x) = 5x + -57 12 + 20x + (-2 * 3 + 2x * 3) = 5x + -57 12 + 20x + (-6 + 6x) = 5x + -57 Reorder the terms: 12 + -6 + 20x + 6x = 5x + -57 Combine like terms: 12 + -6 = 6 6 + 20x + 6x = 5x + -57 Combine like terms: 20x + 6x = 26x 6 + 26x = 5x + -57 Reorder the terms: 6 + 26x = -57 + 5x Solving 6 + 26x = -57 + 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. 6 + 26x + -5x = -57 + 5x + -5x Combine like terms: 26x + -5x = 21x 6 + 21x = -57 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 21x = -57 + 0 6 + 21x = -57 Add '-6' to each side of the equation. 6 + -6 + 21x = -57 + -6 Combine like terms: 6 + -6 = 0 0 + 21x = -57 + -6 21x = -57 + -6 Combine like terms: -57 + -6 = -63 21x = -63 Divide each side by '21'. x = -3 Simplifying x = -3
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