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Simplifying 3(4x + 1) + 8 = 10x + -1 Reorder the terms: 3(1 + 4x) + 8 = 10x + -1 (1 * 3 + 4x * 3) + 8 = 10x + -1 (3 + 12x) + 8 = 10x + -1 Reorder the terms: 3 + 8 + 12x = 10x + -1 Combine like terms: 3 + 8 = 11 11 + 12x = 10x + -1 Reorder the terms: 11 + 12x = -1 + 10x Solving 11 + 12x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 11 + 12x + -10x = -1 + 10x + -10x Combine like terms: 12x + -10x = 2x 11 + 2x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + 2x = -1 + 0 11 + 2x = -1 Add '-11' to each side of the equation. 11 + -11 + 2x = -1 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = -1 + -11 2x = -1 + -11 Combine like terms: -1 + -11 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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