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Simplifying 2(6x + -5(x + -3)) + 4 = 40 Reorder the terms: 2(6x + -5(-3 + x)) + 4 = 40 2(6x + (-3 * -5 + x * -5)) + 4 = 40 2(6x + (15 + -5x)) + 4 = 40 Reorder the terms: 2(15 + 6x + -5x) + 4 = 40 Combine like terms: 6x + -5x = 1x 2(15 + 1x) + 4 = 40 (15 * 2 + 1x * 2) + 4 = 40 (30 + 2x) + 4 = 40 Reorder the terms: 30 + 4 + 2x = 40 Combine like terms: 30 + 4 = 34 34 + 2x = 40 Solving 34 + 2x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 2x = 40 + -34 Combine like terms: 34 + -34 = 0 0 + 2x = 40 + -34 2x = 40 + -34 Combine like terms: 40 + -34 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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