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Simplifying 2(8x + 2) = 3(2x + -7) Reorder the terms: 2(2 + 8x) = 3(2x + -7) (2 * 2 + 8x * 2) = 3(2x + -7) (4 + 16x) = 3(2x + -7) Reorder the terms: 4 + 16x = 3(-7 + 2x) 4 + 16x = (-7 * 3 + 2x * 3) 4 + 16x = (-21 + 6x) Solving 4 + 16x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 16x + -6x = -21 + 6x + -6x Combine like terms: 16x + -6x = 10x 4 + 10x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 10x = -21 + 0 4 + 10x = -21 Add '-4' to each side of the equation. 4 + -4 + 10x = -21 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = -21 + -4 10x = -21 + -4 Combine like terms: -21 + -4 = -25 10x = -25 Divide each side by '10'. x = -2.5 Simplifying x = -2.5
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