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Simplifying 6(3 + x) = 5(x + -7) (3 * 6 + x * 6) = 5(x + -7) (18 + 6x) = 5(x + -7) Reorder the terms: 18 + 6x = 5(-7 + x) 18 + 6x = (-7 * 5 + x * 5) 18 + 6x = (-35 + 5x) Solving 18 + 6x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 6x + -5x = -35 + 5x + -5x Combine like terms: 6x + -5x = 1x 18 + 1x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 1x = -35 + 0 18 + 1x = -35 Add '-18' to each side of the equation. 18 + -18 + 1x = -35 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = -35 + -18 1x = -35 + -18 Combine like terms: -35 + -18 = -53 1x = -53 Divide each side by '1'. x = -53 Simplifying x = -53
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