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Simplifying 15(6x + 2) = 10(4x + 70) Reorder the terms: 15(2 + 6x) = 10(4x + 70) (2 * 15 + 6x * 15) = 10(4x + 70) (30 + 90x) = 10(4x + 70) Reorder the terms: 30 + 90x = 10(70 + 4x) 30 + 90x = (70 * 10 + 4x * 10) 30 + 90x = (700 + 40x) Solving 30 + 90x = 700 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 30 + 90x + -40x = 700 + 40x + -40x Combine like terms: 90x + -40x = 50x 30 + 50x = 700 + 40x + -40x Combine like terms: 40x + -40x = 0 30 + 50x = 700 + 0 30 + 50x = 700 Add '-30' to each side of the equation. 30 + -30 + 50x = 700 + -30 Combine like terms: 30 + -30 = 0 0 + 50x = 700 + -30 50x = 700 + -30 Combine like terms: 700 + -30 = 670 50x = 670 Divide each side by '50'. x = 13.4 Simplifying x = 13.4
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