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Simplifying 2(x + -3) + 4(2x + -6) = 30 Reorder the terms: 2(-3 + x) + 4(2x + -6) = 30 (-3 * 2 + x * 2) + 4(2x + -6) = 30 (-6 + 2x) + 4(2x + -6) = 30 Reorder the terms: -6 + 2x + 4(-6 + 2x) = 30 -6 + 2x + (-6 * 4 + 2x * 4) = 30 -6 + 2x + (-24 + 8x) = 30 Reorder the terms: -6 + -24 + 2x + 8x = 30 Combine like terms: -6 + -24 = -30 -30 + 2x + 8x = 30 Combine like terms: 2x + 8x = 10x -30 + 10x = 30 Solving -30 + 10x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 10x = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = 30 + 30 10x = 30 + 30 Combine like terms: 30 + 30 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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