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Simplifying 6(x + -3) = 7(2 + -1x) + -71 Reorder the terms: 6(-3 + x) = 7(2 + -1x) + -71 (-3 * 6 + x * 6) = 7(2 + -1x) + -71 (-18 + 6x) = 7(2 + -1x) + -71 -18 + 6x = (2 * 7 + -1x * 7) + -71 -18 + 6x = (14 + -7x) + -71 Reorder the terms: -18 + 6x = 14 + -71 + -7x Combine like terms: 14 + -71 = -57 -18 + 6x = -57 + -7x Solving -18 + 6x = -57 + -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. -18 + 6x + 7x = -57 + -7x + 7x Combine like terms: 6x + 7x = 13x -18 + 13x = -57 + -7x + 7x Combine like terms: -7x + 7x = 0 -18 + 13x = -57 + 0 -18 + 13x = -57 Add '18' to each side of the equation. -18 + 18 + 13x = -57 + 18 Combine like terms: -18 + 18 = 0 0 + 13x = -57 + 18 13x = -57 + 18 Combine like terms: -57 + 18 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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