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Simplifying 4(5x + 7) + -1(3 + -1x) = 4 Reorder the terms: 4(7 + 5x) + -1(3 + -1x) = 4 (7 * 4 + 5x * 4) + -1(3 + -1x) = 4 (28 + 20x) + -1(3 + -1x) = 4 28 + 20x + (3 * -1 + -1x * -1) = 4 28 + 20x + (-3 + 1x) = 4 Reorder the terms: 28 + -3 + 20x + 1x = 4 Combine like terms: 28 + -3 = 25 25 + 20x + 1x = 4 Combine like terms: 20x + 1x = 21x 25 + 21x = 4 Solving 25 + 21x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 21x = 4 + -25 Combine like terms: 25 + -25 = 0 0 + 21x = 4 + -25 21x = 4 + -25 Combine like terms: 4 + -25 = -21 21x = -21 Divide each side by '21'. x = -1 Simplifying x = -1
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