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Simplifying 5(x + 3) + 2(4 + -1x) + 5x = 50 Reorder the terms: 5(3 + x) + 2(4 + -1x) + 5x = 50 (3 * 5 + x * 5) + 2(4 + -1x) + 5x = 50 (15 + 5x) + 2(4 + -1x) + 5x = 50 15 + 5x + (4 * 2 + -1x * 2) + 5x = 50 15 + 5x + (8 + -2x) + 5x = 50 Reorder the terms: 15 + 8 + 5x + -2x + 5x = 50 Combine like terms: 15 + 8 = 23 23 + 5x + -2x + 5x = 50 Combine like terms: 5x + -2x = 3x 23 + 3x + 5x = 50 Combine like terms: 3x + 5x = 8x 23 + 8x = 50 Solving 23 + 8x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 8x = 50 + -23 Combine like terms: 23 + -23 = 0 0 + 8x = 50 + -23 8x = 50 + -23 Combine like terms: 50 + -23 = 27 8x = 27 Divide each side by '8'. x = 3.375 Simplifying x = 3.375
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