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