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Simplifying 4x + 10 + x + 5 = 3x + 47 Reorder the terms: 10 + 5 + 4x + x = 3x + 47 Combine like terms: 10 + 5 = 15 15 + 4x + x = 3x + 47 Combine like terms: 4x + x = 5x 15 + 5x = 3x + 47 Reorder the terms: 15 + 5x = 47 + 3x Solving 15 + 5x = 47 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 5x + -3x = 47 + 3x + -3x Combine like terms: 5x + -3x = 2x 15 + 2x = 47 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 2x = 47 + 0 15 + 2x = 47 Add '-15' to each side of the equation. 15 + -15 + 2x = 47 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 47 + -15 2x = 47 + -15 Combine like terms: 47 + -15 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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