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Simplifying 4x + 5(7x + -3) = 9(1x + -5) Reorder the terms: 4x + 5(-3 + 7x) = 9(1x + -5) 4x + (-3 * 5 + 7x * 5) = 9(1x + -5) 4x + (-15 + 35x) = 9(1x + -5) Reorder the terms: -15 + 4x + 35x = 9(1x + -5) Combine like terms: 4x + 35x = 39x -15 + 39x = 9(1x + -5) Reorder the terms: -15 + 39x = 9(-5 + 1x) -15 + 39x = (-5 * 9 + 1x * 9) -15 + 39x = (-45 + 9x) Solving -15 + 39x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -15 + 39x + -9x = -45 + 9x + -9x Combine like terms: 39x + -9x = 30x -15 + 30x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + 30x = -45 + 0 -15 + 30x = -45 Add '15' to each side of the equation. -15 + 15 + 30x = -45 + 15 Combine like terms: -15 + 15 = 0 0 + 30x = -45 + 15 30x = -45 + 15 Combine like terms: -45 + 15 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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