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Simplifying 3(5x + 1) + -2(7 + -1x) = 23 Reorder the terms: 3(1 + 5x) + -2(7 + -1x) = 23 (1 * 3 + 5x * 3) + -2(7 + -1x) = 23 (3 + 15x) + -2(7 + -1x) = 23 3 + 15x + (7 * -2 + -1x * -2) = 23 3 + 15x + (-14 + 2x) = 23 Reorder the terms: 3 + -14 + 15x + 2x = 23 Combine like terms: 3 + -14 = -11 -11 + 15x + 2x = 23 Combine like terms: 15x + 2x = 17x -11 + 17x = 23 Solving -11 + 17x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 17x = 23 + 11 Combine like terms: -11 + 11 = 0 0 + 17x = 23 + 11 17x = 23 + 11 Combine like terms: 23 + 11 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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