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Simplifying 5(2x + 7) + -4x = 3x + 50 Reorder the terms: 5(7 + 2x) + -4x = 3x + 50 (7 * 5 + 2x * 5) + -4x = 3x + 50 (35 + 10x) + -4x = 3x + 50 Combine like terms: 10x + -4x = 6x 35 + 6x = 3x + 50 Reorder the terms: 35 + 6x = 50 + 3x Solving 35 + 6x = 50 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 35 + 6x + -3x = 50 + 3x + -3x Combine like terms: 6x + -3x = 3x 35 + 3x = 50 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + 3x = 50 + 0 35 + 3x = 50 Add '-35' to each side of the equation. 35 + -35 + 3x = 50 + -35 Combine like terms: 35 + -35 = 0 0 + 3x = 50 + -35 3x = 50 + -35 Combine like terms: 50 + -35 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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