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Simplifying -8(6x + -2) = -7(8 + 6x) Reorder the terms: -8(-2 + 6x) = -7(8 + 6x) (-2 * -8 + 6x * -8) = -7(8 + 6x) (16 + -48x) = -7(8 + 6x) 16 + -48x = (8 * -7 + 6x * -7) 16 + -48x = (-56 + -42x) Solving 16 + -48x = -56 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 16 + -48x + 42x = -56 + -42x + 42x Combine like terms: -48x + 42x = -6x 16 + -6x = -56 + -42x + 42x Combine like terms: -42x + 42x = 0 16 + -6x = -56 + 0 16 + -6x = -56 Add '-16' to each side of the equation. 16 + -16 + -6x = -56 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = -56 + -16 -6x = -56 + -16 Combine like terms: -56 + -16 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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