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Simplifying 2(x + -2) = 4(x + 3) + -6 Reorder the terms: 2(-2 + x) = 4(x + 3) + -6 (-2 * 2 + x * 2) = 4(x + 3) + -6 (-4 + 2x) = 4(x + 3) + -6 Reorder the terms: -4 + 2x = 4(3 + x) + -6 -4 + 2x = (3 * 4 + x * 4) + -6 -4 + 2x = (12 + 4x) + -6 Reorder the terms: -4 + 2x = 12 + -6 + 4x Combine like terms: 12 + -6 = 6 -4 + 2x = 6 + 4x Solving -4 + 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. -4 + 2x + -4x = 6 + 4x + -4x Combine like terms: 2x + -4x = -2x -4 + -2x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -2x = 6 + 0 -4 + -2x = 6 Add '4' to each side of the equation. -4 + 4 + -2x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 6 + 4 -2x = 6 + 4 Combine like terms: 6 + 4 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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