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