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