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Simplifying 8(35x + -5) + 36 = 9(6x + 20) + -15 Reorder the terms: 8(-5 + 35x) + 36 = 9(6x + 20) + -15 (-5 * 8 + 35x * 8) + 36 = 9(6x + 20) + -15 (-40 + 280x) + 36 = 9(6x + 20) + -15 Reorder the terms: -40 + 36 + 280x = 9(6x + 20) + -15 Combine like terms: -40 + 36 = -4 -4 + 280x = 9(6x + 20) + -15 Reorder the terms: -4 + 280x = 9(20 + 6x) + -15 -4 + 280x = (20 * 9 + 6x * 9) + -15 -4 + 280x = (180 + 54x) + -15 Reorder the terms: -4 + 280x = 180 + -15 + 54x Combine like terms: 180 + -15 = 165 -4 + 280x = 165 + 54x Solving -4 + 280x = 165 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -4 + 280x + -54x = 165 + 54x + -54x Combine like terms: 280x + -54x = 226x -4 + 226x = 165 + 54x + -54x Combine like terms: 54x + -54x = 0 -4 + 226x = 165 + 0 -4 + 226x = 165 Add '4' to each side of the equation. -4 + 4 + 226x = 165 + 4 Combine like terms: -4 + 4 = 0 0 + 226x = 165 + 4 226x = 165 + 4 Combine like terms: 165 + 4 = 169 226x = 169 Divide each side by '226'. x = 0.7477876106 Simplifying x = 0.7477876106
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