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Simplifying 6 + 14x + -2 = 9x + 40 + -7x Reorder the terms: 6 + -2 + 14x = 9x + 40 + -7x Combine like terms: 6 + -2 = 4 4 + 14x = 9x + 40 + -7x Reorder the terms: 4 + 14x = 40 + 9x + -7x Combine like terms: 9x + -7x = 2x 4 + 14x = 40 + 2x Solving 4 + 14x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 14x + -2x = 40 + 2x + -2x Combine like terms: 14x + -2x = 12x 4 + 12x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 12x = 40 + 0 4 + 12x = 40 Add '-4' to each side of the equation. 4 + -4 + 12x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 40 + -4 12x = 40 + -4 Combine like terms: 40 + -4 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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