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Simplifying 5(3x + -7) = 2(5x + 40) Reorder the terms: 5(-7 + 3x) = 2(5x + 40) (-7 * 5 + 3x * 5) = 2(5x + 40) (-35 + 15x) = 2(5x + 40) Reorder the terms: -35 + 15x = 2(40 + 5x) -35 + 15x = (40 * 2 + 5x * 2) -35 + 15x = (80 + 10x) Solving -35 + 15x = 80 + 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 + 15x + -10x = 80 + 10x + -10x Combine like terms: 15x + -10x = 5x -35 + 5x = 80 + 10x + -10x Combine like terms: 10x + -10x = 0 -35 + 5x = 80 + 0 -35 + 5x = 80 Add '35' to each side of the equation. -35 + 35 + 5x = 80 + 35 Combine like terms: -35 + 35 = 0 0 + 5x = 80 + 35 5x = 80 + 35 Combine like terms: 80 + 35 = 115 5x = 115 Divide each side by '5'. x = 23 Simplifying x = 23
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