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Simplifying 5x + 2(x + -3) = 12x + -5 + 14 Reorder the terms: 5x + 2(-3 + x) = 12x + -5 + 14 5x + (-3 * 2 + x * 2) = 12x + -5 + 14 5x + (-6 + 2x) = 12x + -5 + 14 Reorder the terms: -6 + 5x + 2x = 12x + -5 + 14 Combine like terms: 5x + 2x = 7x -6 + 7x = 12x + -5 + 14 Reorder the terms: -6 + 7x = -5 + 14 + 12x Combine like terms: -5 + 14 = 9 -6 + 7x = 9 + 12x Solving -6 + 7x = 9 + 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. -6 + 7x + -12x = 9 + 12x + -12x Combine like terms: 7x + -12x = -5x -6 + -5x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -5x = 9 + 0 -6 + -5x = 9 Add '6' to each side of the equation. -6 + 6 + -5x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 9 + 6 -5x = 9 + 6 Combine like terms: 9 + 6 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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