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Simplifying 4x + 5(7x + -3) + -15 = 9(x + -5) Reorder the terms: 4x + 5(-3 + 7x) + -15 = 9(x + -5) 4x + (-3 * 5 + 7x * 5) + -15 = 9(x + -5) 4x + (-15 + 35x) + -15 = 9(x + -5) Reorder the terms: -15 + -15 + 4x + 35x = 9(x + -5) Combine like terms: -15 + -15 = -30 -30 + 4x + 35x = 9(x + -5) Combine like terms: 4x + 35x = 39x -30 + 39x = 9(x + -5) Reorder the terms: -30 + 39x = 9(-5 + x) -30 + 39x = (-5 * 9 + x * 9) -30 + 39x = (-45 + 9x) Solving -30 + 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. -30 + 39x + -9x = -45 + 9x + -9x Combine like terms: 39x + -9x = 30x -30 + 30x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + 30x = -45 + 0 -30 + 30x = -45 Add '30' to each side of the equation. -30 + 30 + 30x = -45 + 30 Combine like terms: -30 + 30 = 0 0 + 30x = -45 + 30 30x = -45 + 30 Combine like terms: -45 + 30 = -15 30x = -15 Divide each side by '30'. x = -0.5 Simplifying x = -0.5
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