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Simplifying 2(17x + 3) = (21x + 31) + (10x + -4) Reorder the terms: 2(3 + 17x) = (21x + 31) + (10x + -4) (3 * 2 + 17x * 2) = (21x + 31) + (10x + -4) (6 + 34x) = (21x + 31) + (10x + -4) Reorder the terms: 6 + 34x = (31 + 21x) + (10x + -4) Remove parenthesis around (31 + 21x) 6 + 34x = 31 + 21x + (10x + -4) Reorder the terms: 6 + 34x = 31 + 21x + (-4 + 10x) Remove parenthesis around (-4 + 10x) 6 + 34x = 31 + 21x + -4 + 10x Reorder the terms: 6 + 34x = 31 + -4 + 21x + 10x Combine like terms: 31 + -4 = 27 6 + 34x = 27 + 21x + 10x Combine like terms: 21x + 10x = 31x 6 + 34x = 27 + 31x Solving 6 + 34x = 27 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 6 + 34x + -31x = 27 + 31x + -31x Combine like terms: 34x + -31x = 3x 6 + 3x = 27 + 31x + -31x Combine like terms: 31x + -31x = 0 6 + 3x = 27 + 0 6 + 3x = 27 Add '-6' to each side of the equation. 6 + -6 + 3x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 27 + -6 3x = 27 + -6 Combine like terms: 27 + -6 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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