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Simplifying 6(x + -3) + 20 = 3(7 + -1x) Reorder the terms: 6(-3 + x) + 20 = 3(7 + -1x) (-3 * 6 + x * 6) + 20 = 3(7 + -1x) (-18 + 6x) + 20 = 3(7 + -1x) Reorder the terms: -18 + 20 + 6x = 3(7 + -1x) Combine like terms: -18 + 20 = 2 2 + 6x = 3(7 + -1x) 2 + 6x = (7 * 3 + -1x * 3) 2 + 6x = (21 + -3x) Solving 2 + 6x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 6x + 3x = 21 + -3x + 3x Combine like terms: 6x + 3x = 9x 2 + 9x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 9x = 21 + 0 2 + 9x = 21 Add '-2' to each side of the equation. 2 + -2 + 9x = 21 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 21 + -2 9x = 21 + -2 Combine like terms: 21 + -2 = 19 9x = 19 Divide each side by '9'. x = 2.111111111 Simplifying x = 2.111111111
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