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Simplifying 2(3x + 1) = 4(-3x + -4) Reorder the terms: 2(1 + 3x) = 4(-3x + -4) (1 * 2 + 3x * 2) = 4(-3x + -4) (2 + 6x) = 4(-3x + -4) Reorder the terms: 2 + 6x = 4(-4 + -3x) 2 + 6x = (-4 * 4 + -3x * 4) 2 + 6x = (-16 + -12x) Solving 2 + 6x = -16 + -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 = -16 + -12x + 12x Combine like terms: 6x + 12x = 18x 2 + 18x = -16 + -12x + 12x Combine like terms: -12x + 12x = 0 2 + 18x = -16 + 0 2 + 18x = -16 Add '-2' to each side of the equation. 2 + -2 + 18x = -16 + -2 Combine like terms: 2 + -2 = 0 0 + 18x = -16 + -2 18x = -16 + -2 Combine like terms: -16 + -2 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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