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Simplifying 4x + -3(6 + -2x) = -2x + 6 4x + (6 * -3 + -2x * -3) = -2x + 6 4x + (-18 + 6x) = -2x + 6 Reorder the terms: -18 + 4x + 6x = -2x + 6 Combine like terms: 4x + 6x = 10x -18 + 10x = -2x + 6 Reorder the terms: -18 + 10x = 6 + -2x Solving -18 + 10x = 6 + -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. -18 + 10x + 2x = 6 + -2x + 2x Combine like terms: 10x + 2x = 12x -18 + 12x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 12x = 6 + 0 -18 + 12x = 6 Add '18' to each side of the equation. -18 + 18 + 12x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 6 + 18 12x = 6 + 18 Combine like terms: 6 + 18 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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