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Simplifying 2(5x + 1) + -4(x + 2) = 18 Reorder the terms: 2(1 + 5x) + -4(x + 2) = 18 (1 * 2 + 5x * 2) + -4(x + 2) = 18 (2 + 10x) + -4(x + 2) = 18 Reorder the terms: 2 + 10x + -4(2 + x) = 18 2 + 10x + (2 * -4 + x * -4) = 18 2 + 10x + (-8 + -4x) = 18 Reorder the terms: 2 + -8 + 10x + -4x = 18 Combine like terms: 2 + -8 = -6 -6 + 10x + -4x = 18 Combine like terms: 10x + -4x = 6x -6 + 6x = 18 Solving -6 + 6x = 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 + 6x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 18 + 6 6x = 18 + 6 Combine like terms: 18 + 6 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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