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Simplifying 14x + 6 = 2(5 + 7x) + -4x Reorder the terms: 6 + 14x = 2(5 + 7x) + -4x 6 + 14x = (5 * 2 + 7x * 2) + -4x 6 + 14x = (10 + 14x) + -4x Combine like terms: 14x + -4x = 10x 6 + 14x = 10 + 10x Solving 6 + 14x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 14x + -10x = 10 + 10x + -10x Combine like terms: 14x + -10x = 4x 6 + 4x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 4x = 10 + 0 6 + 4x = 10 Add '-6' to each side of the equation. 6 + -6 + 4x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 10 + -6 4x = 10 + -6 Combine like terms: 10 + -6 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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