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Simplifying 2(3x + 2) + 6(2x + -1) = 40 Reorder the terms: 2(2 + 3x) + 6(2x + -1) = 40 (2 * 2 + 3x * 2) + 6(2x + -1) = 40 (4 + 6x) + 6(2x + -1) = 40 Reorder the terms: 4 + 6x + 6(-1 + 2x) = 40 4 + 6x + (-1 * 6 + 2x * 6) = 40 4 + 6x + (-6 + 12x) = 40 Reorder the terms: 4 + -6 + 6x + 12x = 40 Combine like terms: 4 + -6 = -2 -2 + 6x + 12x = 40 Combine like terms: 6x + 12x = 18x -2 + 18x = 40 Solving -2 + 18x = 40 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 + 18x = 40 + 2 Combine like terms: -2 + 2 = 0 0 + 18x = 40 + 2 18x = 40 + 2 Combine like terms: 40 + 2 = 42 18x = 42 Divide each side by '18'. x = 2.333333333 Simplifying x = 2.333333333
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