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Simplifying 9(4x + -5) = 7(x + 2) + -6 Reorder the terms: 9(-5 + 4x) = 7(x + 2) + -6 (-5 * 9 + 4x * 9) = 7(x + 2) + -6 (-45 + 36x) = 7(x + 2) + -6 Reorder the terms: -45 + 36x = 7(2 + x) + -6 -45 + 36x = (2 * 7 + x * 7) + -6 -45 + 36x = (14 + 7x) + -6 Reorder the terms: -45 + 36x = 14 + -6 + 7x Combine like terms: 14 + -6 = 8 -45 + 36x = 8 + 7x Solving -45 + 36x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -45 + 36x + -7x = 8 + 7x + -7x Combine like terms: 36x + -7x = 29x -45 + 29x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + 29x = 8 + 0 -45 + 29x = 8 Add '45' to each side of the equation. -45 + 45 + 29x = 8 + 45 Combine like terms: -45 + 45 = 0 0 + 29x = 8 + 45 29x = 8 + 45 Combine like terms: 8 + 45 = 53 29x = 53 Divide each side by '29'. x = 1.827586207 Simplifying x = 1.827586207
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