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Simplifying 2(x + 14) = 9(x + -6) Reorder the terms: 2(14 + x) = 9(x + -6) (14 * 2 + x * 2) = 9(x + -6) (28 + 2x) = 9(x + -6) Reorder the terms: 28 + 2x = 9(-6 + x) 28 + 2x = (-6 * 9 + x * 9) 28 + 2x = (-54 + 9x) Solving 28 + 2x = -54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 28 + 2x + -9x = -54 + 9x + -9x Combine like terms: 2x + -9x = -7x 28 + -7x = -54 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + -7x = -54 + 0 28 + -7x = -54 Add '-28' to each side of the equation. 28 + -28 + -7x = -54 + -28 Combine like terms: 28 + -28 = 0 0 + -7x = -54 + -28 -7x = -54 + -28 Combine like terms: -54 + -28 = -82 -7x = -82 Divide each side by '-7'. x = 11.71428571 Simplifying x = 11.71428571
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