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Simplifying 7(3x + -6) = 11 + -1(x + 2) Reorder the terms: 7(-6 + 3x) = 11 + -1(x + 2) (-6 * 7 + 3x * 7) = 11 + -1(x + 2) (-42 + 21x) = 11 + -1(x + 2) Reorder the terms: -42 + 21x = 11 + -1(2 + x) -42 + 21x = 11 + (2 * -1 + x * -1) -42 + 21x = 11 + (-2 + -1x) Combine like terms: 11 + -2 = 9 -42 + 21x = 9 + -1x Solving -42 + 21x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -42 + 21x + x = 9 + -1x + x Combine like terms: 21x + x = 22x -42 + 22x = 9 + -1x + x Combine like terms: -1x + x = 0 -42 + 22x = 9 + 0 -42 + 22x = 9 Add '42' to each side of the equation. -42 + 42 + 22x = 9 + 42 Combine like terms: -42 + 42 = 0 0 + 22x = 9 + 42 22x = 9 + 42 Combine like terms: 9 + 42 = 51 22x = 51 Divide each side by '22'. x = 2.318181818 Simplifying x = 2.318181818
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