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Simplifying 7(5 + x) = 6(x + -3) (5 * 7 + x * 7) = 6(x + -3) (35 + 7x) = 6(x + -3) Reorder the terms: 35 + 7x = 6(-3 + x) 35 + 7x = (-3 * 6 + x * 6) 35 + 7x = (-18 + 6x) Solving 35 + 7x = -18 + 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. 35 + 7x + -6x = -18 + 6x + -6x Combine like terms: 7x + -6x = 1x 35 + 1x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + 1x = -18 + 0 35 + 1x = -18 Add '-35' to each side of the equation. 35 + -35 + 1x = -18 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = -18 + -35 1x = -18 + -35 Combine like terms: -18 + -35 = -53 1x = -53 Divide each side by '1'. x = -53 Simplifying x = -53
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