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Simplifying 8(3x + 2) + -5(2x + -1) = 5(10 + -1x) + 2 Reorder the terms: 8(2 + 3x) + -5(2x + -1) = 5(10 + -1x) + 2 (2 * 8 + 3x * 8) + -5(2x + -1) = 5(10 + -1x) + 2 (16 + 24x) + -5(2x + -1) = 5(10 + -1x) + 2 Reorder the terms: 16 + 24x + -5(-1 + 2x) = 5(10 + -1x) + 2 16 + 24x + (-1 * -5 + 2x * -5) = 5(10 + -1x) + 2 16 + 24x + (5 + -10x) = 5(10 + -1x) + 2 Reorder the terms: 16 + 5 + 24x + -10x = 5(10 + -1x) + 2 Combine like terms: 16 + 5 = 21 21 + 24x + -10x = 5(10 + -1x) + 2 Combine like terms: 24x + -10x = 14x 21 + 14x = 5(10 + -1x) + 2 21 + 14x = (10 * 5 + -1x * 5) + 2 21 + 14x = (50 + -5x) + 2 Reorder the terms: 21 + 14x = 50 + 2 + -5x Combine like terms: 50 + 2 = 52 21 + 14x = 52 + -5x Solving 21 + 14x = 52 + -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. 21 + 14x + 5x = 52 + -5x + 5x Combine like terms: 14x + 5x = 19x 21 + 19x = 52 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + 19x = 52 + 0 21 + 19x = 52 Add '-21' to each side of the equation. 21 + -21 + 19x = 52 + -21 Combine like terms: 21 + -21 = 0 0 + 19x = 52 + -21 19x = 52 + -21 Combine like terms: 52 + -21 = 31 19x = 31 Divide each side by '19'. x = 1.631578947 Simplifying x = 1.631578947
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