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Simplifying 6(8 + 2x) = 7(x + -2) (8 * 6 + 2x * 6) = 7(x + -2) (48 + 12x) = 7(x + -2) Reorder the terms: 48 + 12x = 7(-2 + x) 48 + 12x = (-2 * 7 + x * 7) 48 + 12x = (-14 + 7x) Solving 48 + 12x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 48 + 12x + -7x = -14 + 7x + -7x Combine like terms: 12x + -7x = 5x 48 + 5x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 48 + 5x = -14 + 0 48 + 5x = -14 Add '-48' to each side of the equation. 48 + -48 + 5x = -14 + -48 Combine like terms: 48 + -48 = 0 0 + 5x = -14 + -48 5x = -14 + -48 Combine like terms: -14 + -48 = -62 5x = -62 Divide each side by '5'. x = -12.4 Simplifying x = -12.4
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