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Simplifying 32x + -1 = (15x + 3) + 47 Reorder the terms: -1 + 32x = (15x + 3) + 47 Reorder the terms: -1 + 32x = (3 + 15x) + 47 Remove parenthesis around (3 + 15x) -1 + 32x = 3 + 15x + 47 Reorder the terms: -1 + 32x = 3 + 47 + 15x Combine like terms: 3 + 47 = 50 -1 + 32x = 50 + 15x Solving -1 + 32x = 50 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -1 + 32x + -15x = 50 + 15x + -15x Combine like terms: 32x + -15x = 17x -1 + 17x = 50 + 15x + -15x Combine like terms: 15x + -15x = 0 -1 + 17x = 50 + 0 -1 + 17x = 50 Add '1' to each side of the equation. -1 + 1 + 17x = 50 + 1 Combine like terms: -1 + 1 = 0 0 + 17x = 50 + 1 17x = 50 + 1 Combine like terms: 50 + 1 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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