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Simplifying 21x + -7 = 5(4x + 5) + -18 Reorder the terms: -7 + 21x = 5(4x + 5) + -18 Reorder the terms: -7 + 21x = 5(5 + 4x) + -18 -7 + 21x = (5 * 5 + 4x * 5) + -18 -7 + 21x = (25 + 20x) + -18 Reorder the terms: -7 + 21x = 25 + -18 + 20x Combine like terms: 25 + -18 = 7 -7 + 21x = 7 + 20x Solving -7 + 21x = 7 + 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. -7 + 21x + -20x = 7 + 20x + -20x Combine like terms: 21x + -20x = 1x -7 + 1x = 7 + 20x + -20x Combine like terms: 20x + -20x = 0 -7 + 1x = 7 + 0 -7 + 1x = 7 Add '7' to each side of the equation. -7 + 7 + 1x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 7 + 7 1x = 7 + 7 Combine like terms: 7 + 7 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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