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Simplifying 3x + -2(5x + -4) = 47 Reorder the terms: 3x + -2(-4 + 5x) = 47 3x + (-4 * -2 + 5x * -2) = 47 3x + (8 + -10x) = 47 Reorder the terms: 8 + 3x + -10x = 47 Combine like terms: 3x + -10x = -7x 8 + -7x = 47 Solving 8 + -7x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 47 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 47 + -8 -7x = 47 + -8 Combine like terms: 47 + -8 = 39 -7x = 39 Divide each side by '-7'. x = -5.571428571 Simplifying x = -5.571428571
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