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Simplifying 9x = 7(9 + -5x) + 3(12x + -5) 9x = (9 * 7 + -5x * 7) + 3(12x + -5) 9x = (63 + -35x) + 3(12x + -5) Reorder the terms: 9x = 63 + -35x + 3(-5 + 12x) 9x = 63 + -35x + (-5 * 3 + 12x * 3) 9x = 63 + -35x + (-15 + 36x) Reorder the terms: 9x = 63 + -15 + -35x + 36x Combine like terms: 63 + -15 = 48 9x = 48 + -35x + 36x Combine like terms: -35x + 36x = 1x 9x = 48 + 1x Solving 9x = 48 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9x + -1x = 48 + 1x + -1x Combine like terms: 9x + -1x = 8x 8x = 48 + 1x + -1x Combine like terms: 1x + -1x = 0 8x = 48 + 0 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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