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Simplifying 21 + 5(5x + 3) = 19x + -2(7x + -3) Reorder the terms: 21 + 5(3 + 5x) = 19x + -2(7x + -3) 21 + (3 * 5 + 5x * 5) = 19x + -2(7x + -3) 21 + (15 + 25x) = 19x + -2(7x + -3) Combine like terms: 21 + 15 = 36 36 + 25x = 19x + -2(7x + -3) Reorder the terms: 36 + 25x = 19x + -2(-3 + 7x) 36 + 25x = 19x + (-3 * -2 + 7x * -2) 36 + 25x = 19x + (6 + -14x) Reorder the terms: 36 + 25x = 6 + 19x + -14x Combine like terms: 19x + -14x = 5x 36 + 25x = 6 + 5x Solving 36 + 25x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 36 + 25x + -5x = 6 + 5x + -5x Combine like terms: 25x + -5x = 20x 36 + 20x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + 20x = 6 + 0 36 + 20x = 6 Add '-36' to each side of the equation. 36 + -36 + 20x = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 20x = 6 + -36 20x = 6 + -36 Combine like terms: 6 + -36 = -30 20x = -30 Divide each side by '20'. x = -1.5 Simplifying x = -1.5
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