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Simplifying 3(x + 6) = 7(3 + -1x) Reorder the terms: 3(6 + x) = 7(3 + -1x) (6 * 3 + x * 3) = 7(3 + -1x) (18 + 3x) = 7(3 + -1x) 18 + 3x = (3 * 7 + -1x * 7) 18 + 3x = (21 + -7x) Solving 18 + 3x = 21 + -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 + 3x + 7x = 21 + -7x + 7x Combine like terms: 3x + 7x = 10x 18 + 10x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 18 + 10x = 21 + 0 18 + 10x = 21 Add '-18' to each side of the equation. 18 + -18 + 10x = 21 + -18 Combine like terms: 18 + -18 = 0 0 + 10x = 21 + -18 10x = 21 + -18 Combine like terms: 21 + -18 = 3 10x = 3 Divide each side by '10'. x = 0.3 Simplifying x = 0.3
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