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Simplifying 14 + 36 = 6(2x + 7) + 2x + -6 Combine like terms: 14 + 36 = 50 50 = 6(2x + 7) + 2x + -6 Reorder the terms: 50 = 6(7 + 2x) + 2x + -6 50 = (7 * 6 + 2x * 6) + 2x + -6 50 = (42 + 12x) + 2x + -6 Reorder the terms: 50 = 42 + -6 + 12x + 2x Combine like terms: 42 + -6 = 36 50 = 36 + 12x + 2x Combine like terms: 12x + 2x = 14x 50 = 36 + 14x Solving 50 = 36 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 50 + -14x = 36 + 14x + -14x Combine like terms: 14x + -14x = 0 50 + -14x = 36 + 0 50 + -14x = 36 Add '-50' to each side of the equation. 50 + -50 + -14x = 36 + -50 Combine like terms: 50 + -50 = 0 0 + -14x = 36 + -50 -14x = 36 + -50 Combine like terms: 36 + -50 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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