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Simplifying 4(6 + -1x) = -2(3x + 1) (6 * 4 + -1x * 4) = -2(3x + 1) (24 + -4x) = -2(3x + 1) Reorder the terms: 24 + -4x = -2(1 + 3x) 24 + -4x = (1 * -2 + 3x * -2) 24 + -4x = (-2 + -6x) Solving 24 + -4x = -2 + -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. 24 + -4x + 6x = -2 + -6x + 6x Combine like terms: -4x + 6x = 2x 24 + 2x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + 2x = -2 + 0 24 + 2x = -2 Add '-24' to each side of the equation. 24 + -24 + 2x = -2 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = -2 + -24 2x = -2 + -24 Combine like terms: -2 + -24 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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