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Simplifying 5(3x + -1) + 4(2x + 7) = 69 Reorder the terms: 5(-1 + 3x) + 4(2x + 7) = 69 (-1 * 5 + 3x * 5) + 4(2x + 7) = 69 (-5 + 15x) + 4(2x + 7) = 69 Reorder the terms: -5 + 15x + 4(7 + 2x) = 69 -5 + 15x + (7 * 4 + 2x * 4) = 69 -5 + 15x + (28 + 8x) = 69 Reorder the terms: -5 + 28 + 15x + 8x = 69 Combine like terms: -5 + 28 = 23 23 + 15x + 8x = 69 Combine like terms: 15x + 8x = 23x 23 + 23x = 69 Solving 23 + 23x = 69 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 + 23x = 69 + -23 Combine like terms: 23 + -23 = 0 0 + 23x = 69 + -23 23x = 69 + -23 Combine like terms: 69 + -23 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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