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Simplifying 12x + 3 + -5(2x + 7) = 0 Reorder the terms: 12x + 3 + -5(7 + 2x) = 0 12x + 3 + (7 * -5 + 2x * -5) = 0 12x + 3 + (-35 + -10x) = 0 Reorder the terms: 3 + -35 + 12x + -10x = 0 Combine like terms: 3 + -35 = -32 -32 + 12x + -10x = 0 Combine like terms: 12x + -10x = 2x -32 + 2x = 0 Solving -32 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 2x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 0 + 32 2x = 0 + 32 Combine like terms: 0 + 32 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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