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Simplifying 21x + -4 = 5(4x + 3) + -11 Reorder the terms: -4 + 21x = 5(4x + 3) + -11 Reorder the terms: -4 + 21x = 5(3 + 4x) + -11 -4 + 21x = (3 * 5 + 4x * 5) + -11 -4 + 21x = (15 + 20x) + -11 Reorder the terms: -4 + 21x = 15 + -11 + 20x Combine like terms: 15 + -11 = 4 -4 + 21x = 4 + 20x Solving -4 + 21x = 4 + 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. -4 + 21x + -20x = 4 + 20x + -20x Combine like terms: 21x + -20x = 1x -4 + 1x = 4 + 20x + -20x Combine like terms: 20x + -20x = 0 -4 + 1x = 4 + 0 -4 + 1x = 4 Add '4' to each side of the equation. -4 + 4 + 1x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 4 + 4 1x = 4 + 4 Combine like terms: 4 + 4 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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