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Simplifying 15(5x + -2) = 10(7x) Reorder the terms: 15(-2 + 5x) = 10(7x) (-2 * 15 + 5x * 15) = 10(7x) (-30 + 75x) = 10(7x) Remove parenthesis around (7x) -30 + 75x = 10 * 7x Multiply 10 * 7 -30 + 75x = 70x Solving -30 + 75x = 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. -30 + 75x + -70x = 70x + -70x Combine like terms: 75x + -70x = 5x -30 + 5x = 70x + -70x Combine like terms: 70x + -70x = 0 -30 + 5x = 0 Add '30' to each side of the equation. -30 + 30 + 5x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 0 + 30 5x = 0 + 30 Combine like terms: 0 + 30 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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