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Simplifying 3(4x + 1) + 7 = 3x + -17 Reorder the terms: 3(1 + 4x) + 7 = 3x + -17 (1 * 3 + 4x * 3) + 7 = 3x + -17 (3 + 12x) + 7 = 3x + -17 Reorder the terms: 3 + 7 + 12x = 3x + -17 Combine like terms: 3 + 7 = 10 10 + 12x = 3x + -17 Reorder the terms: 10 + 12x = -17 + 3x Solving 10 + 12x = -17 + 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. 10 + 12x + -3x = -17 + 3x + -3x Combine like terms: 12x + -3x = 9x 10 + 9x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 9x = -17 + 0 10 + 9x = -17 Add '-10' to each side of the equation. 10 + -10 + 9x = -17 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = -17 + -10 9x = -17 + -10 Combine like terms: -17 + -10 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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