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Simplifying 3(4x + 1) = 2x + -6x Reorder the terms: 3(1 + 4x) = 2x + -6x (1 * 3 + 4x * 3) = 2x + -6x (3 + 12x) = 2x + -6x Combine like terms: 2x + -6x = -4x 3 + 12x = -4x Solving 3 + 12x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 12x + 4x = -4x + 4x Combine like terms: 12x + 4x = 16x 3 + 16x = -4x + 4x Combine like terms: -4x + 4x = 0 3 + 16x = 0 Add '-3' to each side of the equation. 3 + -3 + 16x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 16x = 0 + -3 16x = 0 + -3 Combine like terms: 0 + -3 = -3 16x = -3 Divide each side by '16'. x = -0.1875 Simplifying x = -0.1875
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