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Simplifying -6(4x + -1) + 4x = -2(x + 1) Reorder the terms: -6(-1 + 4x) + 4x = -2(x + 1) (-1 * -6 + 4x * -6) + 4x = -2(x + 1) (6 + -24x) + 4x = -2(x + 1) Combine like terms: -24x + 4x = -20x 6 + -20x = -2(x + 1) Reorder the terms: 6 + -20x = -2(1 + x) 6 + -20x = (1 * -2 + x * -2) 6 + -20x = (-2 + -2x) Solving 6 + -20x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -20x + 2x = -2 + -2x + 2x Combine like terms: -20x + 2x = -18x 6 + -18x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -18x = -2 + 0 6 + -18x = -2 Add '-6' to each side of the equation. 6 + -6 + -18x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = -2 + -6 -18x = -2 + -6 Combine like terms: -2 + -6 = -8 -18x = -8 Divide each side by '-18'. x = 0.4444444444 Simplifying x = 0.4444444444
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