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Simplifying -7(4x + 9) + 3(3x + -9) = 0 Reorder the terms: -7(9 + 4x) + 3(3x + -9) = 0 (9 * -7 + 4x * -7) + 3(3x + -9) = 0 (-63 + -28x) + 3(3x + -9) = 0 Reorder the terms: -63 + -28x + 3(-9 + 3x) = 0 -63 + -28x + (-9 * 3 + 3x * 3) = 0 -63 + -28x + (-27 + 9x) = 0 Reorder the terms: -63 + -27 + -28x + 9x = 0 Combine like terms: -63 + -27 = -90 -90 + -28x + 9x = 0 Combine like terms: -28x + 9x = -19x -90 + -19x = 0 Solving -90 + -19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + -19x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + -19x = 0 + 90 -19x = 0 + 90 Combine like terms: 0 + 90 = 90 -19x = 90 Divide each side by '-19'. x = -4.736842105 Simplifying x = -4.736842105
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