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Simplifying 6(1 + 3x) + -2(2x + 5) = 40 (1 * 6 + 3x * 6) + -2(2x + 5) = 40 (6 + 18x) + -2(2x + 5) = 40 Reorder the terms: 6 + 18x + -2(5 + 2x) = 40 6 + 18x + (5 * -2 + 2x * -2) = 40 6 + 18x + (-10 + -4x) = 40 Reorder the terms: 6 + -10 + 18x + -4x = 40 Combine like terms: 6 + -10 = -4 -4 + 18x + -4x = 40 Combine like terms: 18x + -4x = 14x -4 + 14x = 40 Solving -4 + 14x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 14x = 40 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 40 + 4 14x = 40 + 4 Combine like terms: 40 + 4 = 44 14x = 44 Divide each side by '14'. x = 3.142857143 Simplifying x = 3.142857143
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