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Simplifying 4 + -2(3x + 1) = 3x + -3(2 + -3x) Reorder the terms: 4 + -2(1 + 3x) = 3x + -3(2 + -3x) 4 + (1 * -2 + 3x * -2) = 3x + -3(2 + -3x) 4 + (-2 + -6x) = 3x + -3(2 + -3x) Combine like terms: 4 + -2 = 2 2 + -6x = 3x + -3(2 + -3x) 2 + -6x = 3x + (2 * -3 + -3x * -3) 2 + -6x = 3x + (-6 + 9x) Reorder the terms: 2 + -6x = -6 + 3x + 9x Combine like terms: 3x + 9x = 12x 2 + -6x = -6 + 12x Solving 2 + -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. 2 + -6x + -12x = -6 + 12x + -12x Combine like terms: -6x + -12x = -18x 2 + -18x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -18x = -6 + 0 2 + -18x = -6 Add '-2' to each side of the equation. 2 + -2 + -18x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -18x = -6 + -2 -18x = -6 + -2 Combine like terms: -6 + -2 = -8 -18x = -8 Divide each side by '-18'. x = 0.4444444444 Simplifying x = 0.4444444444
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