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Simplifying 2(3x + 7) = 8(6x + 7) Reorder the terms: 2(7 + 3x) = 8(6x + 7) (7 * 2 + 3x * 2) = 8(6x + 7) (14 + 6x) = 8(6x + 7) Reorder the terms: 14 + 6x = 8(7 + 6x) 14 + 6x = (7 * 8 + 6x * 8) 14 + 6x = (56 + 48x) Solving 14 + 6x = 56 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 14 + 6x + -48x = 56 + 48x + -48x Combine like terms: 6x + -48x = -42x 14 + -42x = 56 + 48x + -48x Combine like terms: 48x + -48x = 0 14 + -42x = 56 + 0 14 + -42x = 56 Add '-14' to each side of the equation. 14 + -14 + -42x = 56 + -14 Combine like terms: 14 + -14 = 0 0 + -42x = 56 + -14 -42x = 56 + -14 Combine like terms: 56 + -14 = 42 -42x = 42 Divide each side by '-42'. x = -1 Simplifying x = -1
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