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Simplifying -3(4x + -2) = 2(3x + -1) + 18 Reorder the terms: -3(-2 + 4x) = 2(3x + -1) + 18 (-2 * -3 + 4x * -3) = 2(3x + -1) + 18 (6 + -12x) = 2(3x + -1) + 18 Reorder the terms: 6 + -12x = 2(-1 + 3x) + 18 6 + -12x = (-1 * 2 + 3x * 2) + 18 6 + -12x = (-2 + 6x) + 18 Reorder the terms: 6 + -12x = -2 + 18 + 6x Combine like terms: -2 + 18 = 16 6 + -12x = 16 + 6x Solving 6 + -12x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -12x + -6x = 16 + 6x + -6x Combine like terms: -12x + -6x = -18x 6 + -18x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -18x = 16 + 0 6 + -18x = 16 Add '-6' to each side of the equation. 6 + -6 + -18x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = 16 + -6 -18x = 16 + -6 Combine like terms: 16 + -6 = 10 -18x = 10 Divide each side by '-18'. x = -0.5555555556 Simplifying x = -0.5555555556
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