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Simplifying 5(x + -5) + -9 = -4(-7x + 6) + -5x Reorder the terms: 5(-5 + x) + -9 = -4(-7x + 6) + -5x (-5 * 5 + x * 5) + -9 = -4(-7x + 6) + -5x (-25 + 5x) + -9 = -4(-7x + 6) + -5x Reorder the terms: -25 + -9 + 5x = -4(-7x + 6) + -5x Combine like terms: -25 + -9 = -34 -34 + 5x = -4(-7x + 6) + -5x Reorder the terms: -34 + 5x = -4(6 + -7x) + -5x -34 + 5x = (6 * -4 + -7x * -4) + -5x -34 + 5x = (-24 + 28x) + -5x Combine like terms: 28x + -5x = 23x -34 + 5x = -24 + 23x Solving -34 + 5x = -24 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -34 + 5x + -23x = -24 + 23x + -23x Combine like terms: 5x + -23x = -18x -34 + -18x = -24 + 23x + -23x Combine like terms: 23x + -23x = 0 -34 + -18x = -24 + 0 -34 + -18x = -24 Add '34' to each side of the equation. -34 + 34 + -18x = -24 + 34 Combine like terms: -34 + 34 = 0 0 + -18x = -24 + 34 -18x = -24 + 34 Combine like terms: -24 + 34 = 10 -18x = 10 Divide each side by '-18'. x = -0.5555555556 Simplifying x = -0.5555555556
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