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Simplifying 10x + -13 = 7x + 47 Reorder the terms: -13 + 10x = 7x + 47 Reorder the terms: -13 + 10x = 47 + 7x Solving -13 + 10x = 47 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + 10x + -7x = 47 + 7x + -7x Combine like terms: 10x + -7x = 3x -13 + 3x = 47 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + 3x = 47 + 0 -13 + 3x = 47 Add '13' to each side of the equation. -13 + 13 + 3x = 47 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 47 + 13 3x = 47 + 13 Combine like terms: 47 + 13 = 60 3x = 60 Divide each side by '3'. x = 20 Simplifying x = 20
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