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Simplifying -100 = 5(x + -7) + 8x Reorder the terms: -100 = 5(-7 + x) + 8x -100 = (-7 * 5 + x * 5) + 8x -100 = (-35 + 5x) + 8x Combine like terms: 5x + 8x = 13x -100 = -35 + 13x Solving -100 = -35 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -100 + -13x = -35 + 13x + -13x Combine like terms: 13x + -13x = 0 -100 + -13x = -35 + 0 -100 + -13x = -35 Add '100' to each side of the equation. -100 + 100 + -13x = -35 + 100 Combine like terms: -100 + 100 = 0 0 + -13x = -35 + 100 -13x = -35 + 100 Combine like terms: -35 + 100 = 65 -13x = 65 Divide each side by '-13'. x = -5 Simplifying x = -5
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