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Simplifying 7(3x + -5) = 9(4x + 20) Reorder the terms: 7(-5 + 3x) = 9(4x + 20) (-5 * 7 + 3x * 7) = 9(4x + 20) (-35 + 21x) = 9(4x + 20) Reorder the terms: -35 + 21x = 9(20 + 4x) -35 + 21x = (20 * 9 + 4x * 9) -35 + 21x = (180 + 36x) Solving -35 + 21x = 180 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -35 + 21x + -36x = 180 + 36x + -36x Combine like terms: 21x + -36x = -15x -35 + -15x = 180 + 36x + -36x Combine like terms: 36x + -36x = 0 -35 + -15x = 180 + 0 -35 + -15x = 180 Add '35' to each side of the equation. -35 + 35 + -15x = 180 + 35 Combine like terms: -35 + 35 = 0 0 + -15x = 180 + 35 -15x = 180 + 35 Combine like terms: 180 + 35 = 215 -15x = 215 Divide each side by '-15'. x = -14.33333333 Simplifying x = -14.33333333
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