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Simplifying 2(9x + -14) = 7x + 38 Reorder the terms: 2(-14 + 9x) = 7x + 38 (-14 * 2 + 9x * 2) = 7x + 38 (-28 + 18x) = 7x + 38 Reorder the terms: -28 + 18x = 38 + 7x Solving -28 + 18x = 38 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -28 + 18x + -7x = 38 + 7x + -7x Combine like terms: 18x + -7x = 11x -28 + 11x = 38 + 7x + -7x Combine like terms: 7x + -7x = 0 -28 + 11x = 38 + 0 -28 + 11x = 38 Add '28' to each side of the equation. -28 + 28 + 11x = 38 + 28 Combine like terms: -28 + 28 = 0 0 + 11x = 38 + 28 11x = 38 + 28 Combine like terms: 38 + 28 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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