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Simplifying 5(3x + -5) + -7(2x + 5) + 9(3x + -2) = 0 Reorder the terms: 5(-5 + 3x) + -7(2x + 5) + 9(3x + -2) = 0 (-5 * 5 + 3x * 5) + -7(2x + 5) + 9(3x + -2) = 0 (-25 + 15x) + -7(2x + 5) + 9(3x + -2) = 0 Reorder the terms: -25 + 15x + -7(5 + 2x) + 9(3x + -2) = 0 -25 + 15x + (5 * -7 + 2x * -7) + 9(3x + -2) = 0 -25 + 15x + (-35 + -14x) + 9(3x + -2) = 0 Reorder the terms: -25 + 15x + -35 + -14x + 9(-2 + 3x) = 0 -25 + 15x + -35 + -14x + (-2 * 9 + 3x * 9) = 0 -25 + 15x + -35 + -14x + (-18 + 27x) = 0 Reorder the terms: -25 + -35 + -18 + 15x + -14x + 27x = 0 Combine like terms: -25 + -35 = -60 -60 + -18 + 15x + -14x + 27x = 0 Combine like terms: -60 + -18 = -78 -78 + 15x + -14x + 27x = 0 Combine like terms: 15x + -14x = 1x -78 + 1x + 27x = 0 Combine like terms: 1x + 27x = 28x -78 + 28x = 0 Solving -78 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 28x = 0 + 78 Combine like terms: -78 + 78 = 0 0 + 28x = 0 + 78 28x = 0 + 78 Combine like terms: 0 + 78 = 78 28x = 78 Divide each side by '28'. x = 2.785714286 Simplifying x = 2.785714286
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