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Simplifying 5(4x + -7) = 8x + 45 + 2x Reorder the terms: 5(-7 + 4x) = 8x + 45 + 2x (-7 * 5 + 4x * 5) = 8x + 45 + 2x (-35 + 20x) = 8x + 45 + 2x Reorder the terms: -35 + 20x = 45 + 8x + 2x Combine like terms: 8x + 2x = 10x -35 + 20x = 45 + 10x Solving -35 + 20x = 45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -35 + 20x + -10x = 45 + 10x + -10x Combine like terms: 20x + -10x = 10x -35 + 10x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 -35 + 10x = 45 + 0 -35 + 10x = 45 Add '35' to each side of the equation. -35 + 35 + 10x = 45 + 35 Combine like terms: -35 + 35 = 0 0 + 10x = 45 + 35 10x = 45 + 35 Combine like terms: 45 + 35 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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