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Simplifying 47x + -8 = 5(10x + -7) Reorder the terms: -8 + 47x = 5(10x + -7) Reorder the terms: -8 + 47x = 5(-7 + 10x) -8 + 47x = (-7 * 5 + 10x * 5) -8 + 47x = (-35 + 50x) Solving -8 + 47x = -35 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -8 + 47x + -50x = -35 + 50x + -50x Combine like terms: 47x + -50x = -3x -8 + -3x = -35 + 50x + -50x Combine like terms: 50x + -50x = 0 -8 + -3x = -35 + 0 -8 + -3x = -35 Add '8' to each side of the equation. -8 + 8 + -3x = -35 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -35 + 8 -3x = -35 + 8 Combine like terms: -35 + 8 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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