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Simplifying ((12x + -17) + (4x + 3)) * 2 = 356 Reorder the terms: ((-17 + 12x) + (4x + 3)) * 2 = 356 Remove parenthesis around (-17 + 12x) (-17 + 12x + (4x + 3)) * 2 = 356 Reorder the terms: (-17 + 12x + (3 + 4x)) * 2 = 356 Remove parenthesis around (3 + 4x) (-17 + 12x + 3 + 4x) * 2 = 356 Reorder the terms: (-17 + 3 + 12x + 4x) * 2 = 356 Combine like terms: -17 + 3 = -14 (-14 + 12x + 4x) * 2 = 356 Combine like terms: 12x + 4x = 16x (-14 + 16x) * 2 = 356 Reorder the terms for easier multiplication: 2(-14 + 16x) = 356 (-14 * 2 + 16x * 2) = 356 (-28 + 32x) = 356 Solving -28 + 32x = 356 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 32x = 356 + 28 Combine like terms: -28 + 28 = 0 0 + 32x = 356 + 28 32x = 356 + 28 Combine like terms: 356 + 28 = 384 32x = 384 Divide each side by '32'. x = 12 Simplifying x = 12
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