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Simplifying 2(4x + -2) + -2 = 2x + 24 Reorder the terms: 2(-2 + 4x) + -2 = 2x + 24 (-2 * 2 + 4x * 2) + -2 = 2x + 24 (-4 + 8x) + -2 = 2x + 24 Reorder the terms: -4 + -2 + 8x = 2x + 24 Combine like terms: -4 + -2 = -6 -6 + 8x = 2x + 24 Reorder the terms: -6 + 8x = 24 + 2x Solving -6 + 8x = 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 + 8x + -2x = 24 + 2x + -2x Combine like terms: 8x + -2x = 6x -6 + 6x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 6x = 24 + 0 -6 + 6x = 24 Add '6' to each side of the equation. -6 + 6 + 6x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 24 + 6 6x = 24 + 6 Combine like terms: 24 + 6 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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