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Simplifying 2(x + -3) = 4(x + 2) + -2 Reorder the terms: 2(-3 + x) = 4(x + 2) + -2 (-3 * 2 + x * 2) = 4(x + 2) + -2 (-6 + 2x) = 4(x + 2) + -2 Reorder the terms: -6 + 2x = 4(2 + x) + -2 -6 + 2x = (2 * 4 + x * 4) + -2 -6 + 2x = (8 + 4x) + -2 Reorder the terms: -6 + 2x = 8 + -2 + 4x Combine like terms: 8 + -2 = 6 -6 + 2x = 6 + 4x Solving -6 + 2x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 2x + -4x = 6 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -2x = 6 + 0 -6 + -2x = 6 Add '6' to each side of the equation. -6 + 6 + -2x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 6 + 6 -2x = 6 + 6 Combine like terms: 6 + 6 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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