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