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Simplifying 14(x + -2) = 9(3 + -1x) Reorder the terms: 14(-2 + x) = 9(3 + -1x) (-2 * 14 + x * 14) = 9(3 + -1x) (-28 + 14x) = 9(3 + -1x) -28 + 14x = (3 * 9 + -1x * 9) -28 + 14x = (27 + -9x) Solving -28 + 14x = 27 + -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 + 14x + 9x = 27 + -9x + 9x Combine like terms: 14x + 9x = 23x -28 + 23x = 27 + -9x + 9x Combine like terms: -9x + 9x = 0 -28 + 23x = 27 + 0 -28 + 23x = 27 Add '28' to each side of the equation. -28 + 28 + 23x = 27 + 28 Combine like terms: -28 + 28 = 0 0 + 23x = 27 + 28 23x = 27 + 28 Combine like terms: 27 + 28 = 55 23x = 55 Divide each side by '23'. x = 2.391304348 Simplifying x = 2.391304348
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