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Simplifying 21x + -3 = 4(5x + 4) + -13 Reorder the terms: -3 + 21x = 4(5x + 4) + -13 Reorder the terms: -3 + 21x = 4(4 + 5x) + -13 -3 + 21x = (4 * 4 + 5x * 4) + -13 -3 + 21x = (16 + 20x) + -13 Reorder the terms: -3 + 21x = 16 + -13 + 20x Combine like terms: 16 + -13 = 3 -3 + 21x = 3 + 20x Solving -3 + 21x = 3 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -3 + 21x + -20x = 3 + 20x + -20x Combine like terms: 21x + -20x = 1x -3 + 1x = 3 + 20x + -20x Combine like terms: 20x + -20x = 0 -3 + 1x = 3 + 0 -3 + 1x = 3 Add '3' to each side of the equation. -3 + 3 + 1x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 3 + 3 1x = 3 + 3 Combine like terms: 3 + 3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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