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Simplifying 2(2x + -3) + 3(4x + -1) = 23 Reorder the terms: 2(-3 + 2x) + 3(4x + -1) = 23 (-3 * 2 + 2x * 2) + 3(4x + -1) = 23 (-6 + 4x) + 3(4x + -1) = 23 Reorder the terms: -6 + 4x + 3(-1 + 4x) = 23 -6 + 4x + (-1 * 3 + 4x * 3) = 23 -6 + 4x + (-3 + 12x) = 23 Reorder the terms: -6 + -3 + 4x + 12x = 23 Combine like terms: -6 + -3 = -9 -9 + 4x + 12x = 23 Combine like terms: 4x + 12x = 16x -9 + 16x = 23 Solving -9 + 16x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 16x = 23 + 9 Combine like terms: -9 + 9 = 0 0 + 16x = 23 + 9 16x = 23 + 9 Combine like terms: 23 + 9 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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