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Simplifying 5(x + -8) + -1 = -7(-4x + 5) + -5x Reorder the terms: 5(-8 + x) + -1 = -7(-4x + 5) + -5x (-8 * 5 + x * 5) + -1 = -7(-4x + 5) + -5x (-40 + 5x) + -1 = -7(-4x + 5) + -5x Reorder the terms: -40 + -1 + 5x = -7(-4x + 5) + -5x Combine like terms: -40 + -1 = -41 -41 + 5x = -7(-4x + 5) + -5x Reorder the terms: -41 + 5x = -7(5 + -4x) + -5x -41 + 5x = (5 * -7 + -4x * -7) + -5x -41 + 5x = (-35 + 28x) + -5x Combine like terms: 28x + -5x = 23x -41 + 5x = -35 + 23x Solving -41 + 5x = -35 + 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. -41 + 5x + -23x = -35 + 23x + -23x Combine like terms: 5x + -23x = -18x -41 + -18x = -35 + 23x + -23x Combine like terms: 23x + -23x = 0 -41 + -18x = -35 + 0 -41 + -18x = -35 Add '41' to each side of the equation. -41 + 41 + -18x = -35 + 41 Combine like terms: -41 + 41 = 0 0 + -18x = -35 + 41 -18x = -35 + 41 Combine like terms: -35 + 41 = 6 -18x = 6 Divide each side by '-18'. x = -0.3333333333 Simplifying x = -0.3333333333
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