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Simplifying 14x + 2(x + -5) = 12x + 36 Reorder the terms: 14x + 2(-5 + x) = 12x + 36 14x + (-5 * 2 + x * 2) = 12x + 36 14x + (-10 + 2x) = 12x + 36 Reorder the terms: -10 + 14x + 2x = 12x + 36 Combine like terms: 14x + 2x = 16x -10 + 16x = 12x + 36 Reorder the terms: -10 + 16x = 36 + 12x Solving -10 + 16x = 36 + 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. -10 + 16x + -12x = 36 + 12x + -12x Combine like terms: 16x + -12x = 4x -10 + 4x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + 4x = 36 + 0 -10 + 4x = 36 Add '10' to each side of the equation. -10 + 10 + 4x = 36 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 36 + 10 4x = 36 + 10 Combine like terms: 36 + 10 = 46 4x = 46 Divide each side by '4'. x = 11.5 Simplifying x = 11.5
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