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Simplifying 21x + -10 = 5(4x + 5) + -15 Reorder the terms: -10 + 21x = 5(4x + 5) + -15 Reorder the terms: -10 + 21x = 5(5 + 4x) + -15 -10 + 21x = (5 * 5 + 4x * 5) + -15 -10 + 21x = (25 + 20x) + -15 Reorder the terms: -10 + 21x = 25 + -15 + 20x Combine like terms: 25 + -15 = 10 -10 + 21x = 10 + 20x Solving -10 + 21x = 10 + 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. -10 + 21x + -20x = 10 + 20x + -20x Combine like terms: 21x + -20x = 1x -10 + 1x = 10 + 20x + -20x Combine like terms: 20x + -20x = 0 -10 + 1x = 10 + 0 -10 + 1x = 10 Add '10' to each side of the equation. -10 + 10 + 1x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 10 + 10 1x = 10 + 10 Combine like terms: 10 + 10 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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