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Simplifying 2(x + -3) + 2 = 2(2x + -6) Reorder the terms: 2(-3 + x) + 2 = 2(2x + -6) (-3 * 2 + x * 2) + 2 = 2(2x + -6) (-6 + 2x) + 2 = 2(2x + -6) Reorder the terms: -6 + 2 + 2x = 2(2x + -6) Combine like terms: -6 + 2 = -4 -4 + 2x = 2(2x + -6) Reorder the terms: -4 + 2x = 2(-6 + 2x) -4 + 2x = (-6 * 2 + 2x * 2) -4 + 2x = (-12 + 4x) Solving -4 + 2x = -12 + 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 = -12 + 4x + -4x Combine like terms: 2x + -4x = -2x -4 + -2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -2x = -12 + 0 -4 + -2x = -12 Add '4' to each side of the equation. -4 + 4 + -2x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -12 + 4 -2x = -12 + 4 Combine like terms: -12 + 4 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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