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Simplifying 6(x + -5) + 5 = 5(x + -7) Reorder the terms: 6(-5 + x) + 5 = 5(x + -7) (-5 * 6 + x * 6) + 5 = 5(x + -7) (-30 + 6x) + 5 = 5(x + -7) Reorder the terms: -30 + 5 + 6x = 5(x + -7) Combine like terms: -30 + 5 = -25 -25 + 6x = 5(x + -7) Reorder the terms: -25 + 6x = 5(-7 + x) -25 + 6x = (-7 * 5 + x * 5) -25 + 6x = (-35 + 5x) Solving -25 + 6x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -25 + 6x + -5x = -35 + 5x + -5x Combine like terms: 6x + -5x = 1x -25 + 1x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -25 + 1x = -35 + 0 -25 + 1x = -35 Add '25' to each side of the equation. -25 + 25 + 1x = -35 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = -35 + 25 1x = -35 + 25 Combine like terms: -35 + 25 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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