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Simplifying (3x + -5) * 2 + (x + 1) * 2 = 24 Reorder the terms: (-5 + 3x) * 2 + (x + 1) * 2 = 24 Reorder the terms for easier multiplication: 2(-5 + 3x) + (x + 1) * 2 = 24 (-5 * 2 + 3x * 2) + (x + 1) * 2 = 24 (-10 + 6x) + (x + 1) * 2 = 24 Reorder the terms: -10 + 6x + (1 + x) * 2 = 24 Reorder the terms for easier multiplication: -10 + 6x + 2(1 + x) = 24 -10 + 6x + (1 * 2 + x * 2) = 24 -10 + 6x + (2 + 2x) = 24 Reorder the terms: -10 + 2 + 6x + 2x = 24 Combine like terms: -10 + 2 = -8 -8 + 6x + 2x = 24 Combine like terms: 6x + 2x = 8x -8 + 8x = 24 Solving -8 + 8x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 8x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 24 + 8 8x = 24 + 8 Combine like terms: 24 + 8 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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