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Simplifying 2(x + -2) = 2(2x + -3) Reorder the terms: 2(-2 + x) = 2(2x + -3) (-2 * 2 + x * 2) = 2(2x + -3) (-4 + 2x) = 2(2x + -3) Reorder the terms: -4 + 2x = 2(-3 + 2x) -4 + 2x = (-3 * 2 + 2x * 2) -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 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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