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Simplifying -2(4 + -3x) = 6(2x + 1) + 4 (4 * -2 + -3x * -2) = 6(2x + 1) + 4 (-8 + 6x) = 6(2x + 1) + 4 Reorder the terms: -8 + 6x = 6(1 + 2x) + 4 -8 + 6x = (1 * 6 + 2x * 6) + 4 -8 + 6x = (6 + 12x) + 4 Reorder the terms: -8 + 6x = 6 + 4 + 12x Combine like terms: 6 + 4 = 10 -8 + 6x = 10 + 12x Solving -8 + 6x = 10 + 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. -8 + 6x + -12x = 10 + 12x + -12x Combine like terms: 6x + -12x = -6x -8 + -6x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -6x = 10 + 0 -8 + -6x = 10 Add '8' to each side of the equation. -8 + 8 + -6x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 10 + 8 -6x = 10 + 8 Combine like terms: 10 + 8 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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