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Simplifying 4(3x + 1) = 10x + -2 Reorder the terms: 4(1 + 3x) = 10x + -2 (1 * 4 + 3x * 4) = 10x + -2 (4 + 12x) = 10x + -2 Reorder the terms: 4 + 12x = -2 + 10x Solving 4 + 12x = -2 + 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. 4 + 12x + -10x = -2 + 10x + -10x Combine like terms: 12x + -10x = 2x 4 + 2x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + 2x = -2 + 0 4 + 2x = -2 Add '-4' to each side of the equation. 4 + -4 + 2x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -2 + -4 2x = -2 + -4 Combine like terms: -2 + -4 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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