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Simplifying 2(2x + -3) + -2 = 2(x + -3) + 8 Reorder the terms: 2(-3 + 2x) + -2 = 2(x + -3) + 8 (-3 * 2 + 2x * 2) + -2 = 2(x + -3) + 8 (-6 + 4x) + -2 = 2(x + -3) + 8 Reorder the terms: -6 + -2 + 4x = 2(x + -3) + 8 Combine like terms: -6 + -2 = -8 -8 + 4x = 2(x + -3) + 8 Reorder the terms: -8 + 4x = 2(-3 + x) + 8 -8 + 4x = (-3 * 2 + x * 2) + 8 -8 + 4x = (-6 + 2x) + 8 Reorder the terms: -8 + 4x = -6 + 8 + 2x Combine like terms: -6 + 8 = 2 -8 + 4x = 2 + 2x Solving -8 + 4x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x -8 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 2x = 2 + 0 -8 + 2x = 2 Add '8' to each side of the equation. -8 + 8 + 2x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 2 + 8 2x = 2 + 8 Combine like terms: 2 + 8 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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