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Simplifying 2(8x + 2) = 3(3x + -7) Reorder the terms: 2(2 + 8x) = 3(3x + -7) (2 * 2 + 8x * 2) = 3(3x + -7) (4 + 16x) = 3(3x + -7) Reorder the terms: 4 + 16x = 3(-7 + 3x) 4 + 16x = (-7 * 3 + 3x * 3) 4 + 16x = (-21 + 9x) Solving 4 + 16x = -21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 16x + -9x = -21 + 9x + -9x Combine like terms: 16x + -9x = 7x 4 + 7x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 7x = -21 + 0 4 + 7x = -21 Add '-4' to each side of the equation. 4 + -4 + 7x = -21 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = -21 + -4 7x = -21 + -4 Combine like terms: -21 + -4 = -25 7x = -25 Divide each side by '7'. x = -3.571428571 Simplifying x = -3.571428571
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