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Simplifying 7(x + -3) + -9 = (13 + 7 + -5x) * 7 Reorder the terms: 7(-3 + x) + -9 = (13 + 7 + -5x) * 7 (-3 * 7 + x * 7) + -9 = (13 + 7 + -5x) * 7 (-21 + 7x) + -9 = (13 + 7 + -5x) * 7 Reorder the terms: -21 + -9 + 7x = (13 + 7 + -5x) * 7 Combine like terms: -21 + -9 = -30 -30 + 7x = (13 + 7 + -5x) * 7 Combine like terms: 13 + 7 = 20 -30 + 7x = (20 + -5x) * 7 Reorder the terms for easier multiplication: -30 + 7x = 7(20 + -5x) -30 + 7x = (20 * 7 + -5x * 7) -30 + 7x = (140 + -35x) Solving -30 + 7x = 140 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -30 + 7x + 35x = 140 + -35x + 35x Combine like terms: 7x + 35x = 42x -30 + 42x = 140 + -35x + 35x Combine like terms: -35x + 35x = 0 -30 + 42x = 140 + 0 -30 + 42x = 140 Add '30' to each side of the equation. -30 + 30 + 42x = 140 + 30 Combine like terms: -30 + 30 = 0 0 + 42x = 140 + 30 42x = 140 + 30 Combine like terms: 140 + 30 = 170 42x = 170 Divide each side by '42'. x = 4.047619048 Simplifying x = 4.047619048
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