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Simplifying 100 = 7x + 5(4x + -7) Reorder the terms: 100 = 7x + 5(-7 + 4x) 100 = 7x + (-7 * 5 + 4x * 5) 100 = 7x + (-35 + 20x) Reorder the terms: 100 = -35 + 7x + 20x Combine like terms: 7x + 20x = 27x 100 = -35 + 27x Solving 100 = -35 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 100 + -27x = -35 + 27x + -27x Combine like terms: 27x + -27x = 0 100 + -27x = -35 + 0 100 + -27x = -35 Add '-100' to each side of the equation. 100 + -100 + -27x = -35 + -100 Combine like terms: 100 + -100 = 0 0 + -27x = -35 + -100 -27x = -35 + -100 Combine like terms: -35 + -100 = -135 -27x = -135 Divide each side by '-27'. x = 5 Simplifying x = 5
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