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Simplifying 3(x + 2) + -2(5x + -8) = 14 Reorder the terms: 3(2 + x) + -2(5x + -8) = 14 (2 * 3 + x * 3) + -2(5x + -8) = 14 (6 + 3x) + -2(5x + -8) = 14 Reorder the terms: 6 + 3x + -2(-8 + 5x) = 14 6 + 3x + (-8 * -2 + 5x * -2) = 14 6 + 3x + (16 + -10x) = 14 Reorder the terms: 6 + 16 + 3x + -10x = 14 Combine like terms: 6 + 16 = 22 22 + 3x + -10x = 14 Combine like terms: 3x + -10x = -7x 22 + -7x = 14 Solving 22 + -7x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -7x = 14 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = 14 + -22 -7x = 14 + -22 Combine like terms: 14 + -22 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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