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Simplifying 3(4x + -2) + 5(x + -1) = 23 Reorder the terms: 3(-2 + 4x) + 5(x + -1) = 23 (-2 * 3 + 4x * 3) + 5(x + -1) = 23 (-6 + 12x) + 5(x + -1) = 23 Reorder the terms: -6 + 12x + 5(-1 + x) = 23 -6 + 12x + (-1 * 5 + x * 5) = 23 -6 + 12x + (-5 + 5x) = 23 Reorder the terms: -6 + -5 + 12x + 5x = 23 Combine like terms: -6 + -5 = -11 -11 + 12x + 5x = 23 Combine like terms: 12x + 5x = 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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