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Simplifying 3(-2x + 1) = 4(1 + 3x) + 2 Reorder the terms: 3(1 + -2x) = 4(1 + 3x) + 2 (1 * 3 + -2x * 3) = 4(1 + 3x) + 2 (3 + -6x) = 4(1 + 3x) + 2 3 + -6x = (1 * 4 + 3x * 4) + 2 3 + -6x = (4 + 12x) + 2 Reorder the terms: 3 + -6x = 4 + 2 + 12x Combine like terms: 4 + 2 = 6 3 + -6x = 6 + 12x Solving 3 + -6x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + -6x + -12x = 6 + 12x + -12x Combine like terms: -6x + -12x = -18x 3 + -18x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -18x = 6 + 0 3 + -18x = 6 Add '-3' to each side of the equation. 3 + -3 + -18x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -18x = 6 + -3 -18x = 6 + -3 Combine like terms: 6 + -3 = 3 -18x = 3 Divide each side by '-18'. x = -0.1666666667 Simplifying x = -0.1666666667
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