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Simplifying 2(2x + -2) + -2 = 24 + 2x Reorder the terms: 2(-2 + 2x) + -2 = 24 + 2x (-2 * 2 + 2x * 2) + -2 = 24 + 2x (-4 + 4x) + -2 = 24 + 2x Reorder the terms: -4 + -2 + 4x = 24 + 2x Combine like terms: -4 + -2 = -6 -6 + 4x = 24 + 2x Solving -6 + 4x = 24 + 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. -6 + 4x + -2x = 24 + 2x + -2x Combine like terms: 4x + -2x = 2x -6 + 2x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2x = 24 + 0 -6 + 2x = 24 Add '6' to each side of the equation. -6 + 6 + 2x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 24 + 6 2x = 24 + 6 Combine like terms: 24 + 6 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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