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Simplifying 8(4x + 2) + -10(7x + -9) = 0 Reorder the terms: 8(2 + 4x) + -10(7x + -9) = 0 (2 * 8 + 4x * 8) + -10(7x + -9) = 0 (16 + 32x) + -10(7x + -9) = 0 Reorder the terms: 16 + 32x + -10(-9 + 7x) = 0 16 + 32x + (-9 * -10 + 7x * -10) = 0 16 + 32x + (90 + -70x) = 0 Reorder the terms: 16 + 90 + 32x + -70x = 0 Combine like terms: 16 + 90 = 106 106 + 32x + -70x = 0 Combine like terms: 32x + -70x = -38x 106 + -38x = 0 Solving 106 + -38x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-106' to each side of the equation. 106 + -106 + -38x = 0 + -106 Combine like terms: 106 + -106 = 0 0 + -38x = 0 + -106 -38x = 0 + -106 Combine like terms: 0 + -106 = -106 -38x = -106 Divide each side by '-38'. x = 2.789473684 Simplifying x = 2.789473684
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