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Simplifying 4x + 3(2x + -6) = -2 + -6x Reorder the terms: 4x + 3(-6 + 2x) = -2 + -6x 4x + (-6 * 3 + 2x * 3) = -2 + -6x 4x + (-18 + 6x) = -2 + -6x Reorder the terms: -18 + 4x + 6x = -2 + -6x Combine like terms: 4x + 6x = 10x -18 + 10x = -2 + -6x Solving -18 + 10x = -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. -18 + 10x + 6x = -2 + -6x + 6x Combine like terms: 10x + 6x = 16x -18 + 16x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 + 16x = -2 + 0 -18 + 16x = -2 Add '18' to each side of the equation. -18 + 18 + 16x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 16x = -2 + 18 16x = -2 + 18 Combine like terms: -2 + 18 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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