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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 = -6 -6 + -4x + 12x = 18 Combine like terms: -4x + 12x = 8x -6 + 8x = 18 Solving -6 + 8x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 18 + 6 8x = 18 + 6 Combine like terms: 18 + 6 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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