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Simplifying 9(3x + -5) + 14 = 2 + -5(5x + 3) Reorder the terms: 9(-5 + 3x) + 14 = 2 + -5(5x + 3) (-5 * 9 + 3x * 9) + 14 = 2 + -5(5x + 3) (-45 + 27x) + 14 = 2 + -5(5x + 3) Reorder the terms: -45 + 14 + 27x = 2 + -5(5x + 3) Combine like terms: -45 + 14 = -31 -31 + 27x = 2 + -5(5x + 3) Reorder the terms: -31 + 27x = 2 + -5(3 + 5x) -31 + 27x = 2 + (3 * -5 + 5x * -5) -31 + 27x = 2 + (-15 + -25x) Combine like terms: 2 + -15 = -13 -31 + 27x = -13 + -25x Solving -31 + 27x = -13 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -31 + 27x + 25x = -13 + -25x + 25x Combine like terms: 27x + 25x = 52x -31 + 52x = -13 + -25x + 25x Combine like terms: -25x + 25x = 0 -31 + 52x = -13 + 0 -31 + 52x = -13 Add '31' to each side of the equation. -31 + 31 + 52x = -13 + 31 Combine like terms: -31 + 31 = 0 0 + 52x = -13 + 31 52x = -13 + 31 Combine like terms: -13 + 31 = 18 52x = 18 Divide each side by '52'. x = 0.3461538462 Simplifying x = 0.3461538462
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