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Simplifying 14(x + -2) + -4 = 12x + 2 Reorder the terms: 14(-2 + x) + -4 = 12x + 2 (-2 * 14 + x * 14) + -4 = 12x + 2 (-28 + 14x) + -4 = 12x + 2 Reorder the terms: -28 + -4 + 14x = 12x + 2 Combine like terms: -28 + -4 = -32 -32 + 14x = 12x + 2 Reorder the terms: -32 + 14x = 2 + 12x Solving -32 + 14x = 2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + 14x + -12x = 2 + 12x + -12x Combine like terms: 14x + -12x = 2x -32 + 2x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + 2x = 2 + 0 -32 + 2x = 2 Add '32' to each side of the equation. -32 + 32 + 2x = 2 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 2 + 32 2x = 2 + 32 Combine like terms: 2 + 32 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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