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Simplifying 4x + -5(7x + -3) = 9(x + -5) Reorder the terms: 4x + -5(-3 + 7x) = 9(x + -5) 4x + (-3 * -5 + 7x * -5) = 9(x + -5) 4x + (15 + -35x) = 9(x + -5) Reorder the terms: 15 + 4x + -35x = 9(x + -5) Combine like terms: 4x + -35x = -31x 15 + -31x = 9(x + -5) Reorder the terms: 15 + -31x = 9(-5 + x) 15 + -31x = (-5 * 9 + x * 9) 15 + -31x = (-45 + 9x) Solving 15 + -31x = -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 + -31x + -9x = -45 + 9x + -9x Combine like terms: -31x + -9x = -40x 15 + -40x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -40x = -45 + 0 15 + -40x = -45 Add '-15' to each side of the equation. 15 + -15 + -40x = -45 + -15 Combine like terms: 15 + -15 = 0 0 + -40x = -45 + -15 -40x = -45 + -15 Combine like terms: -45 + -15 = -60 -40x = -60 Divide each side by '-40'. x = 1.5 Simplifying x = 1.5
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