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Simplifying 2(2x + -1) + 4(3x + 1) = 18 Reorder the terms: 2(-1 + 2x) + 4(3x + 1) = 18 (-1 * 2 + 2x * 2) + 4(3x + 1) = 18 (-2 + 4x) + 4(3x + 1) = 18 Reorder the terms: -2 + 4x + 4(1 + 3x) = 18 -2 + 4x + (1 * 4 + 3x * 4) = 18 -2 + 4x + (4 + 12x) = 18 Reorder the terms: -2 + 4 + 4x + 12x = 18 Combine like terms: -2 + 4 = 2 2 + 4x + 12x = 18 Combine like terms: 4x + 12x = 16x 2 + 16x = 18 Solving 2 + 16x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 16x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 16x = 18 + -2 16x = 18 + -2 Combine like terms: 18 + -2 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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