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Simplifying 7(3x + -9) = 11 + -1(x + 3) Reorder the terms: 7(-9 + 3x) = 11 + -1(x + 3) (-9 * 7 + 3x * 7) = 11 + -1(x + 3) (-63 + 21x) = 11 + -1(x + 3) Reorder the terms: -63 + 21x = 11 + -1(3 + x) -63 + 21x = 11 + (3 * -1 + x * -1) -63 + 21x = 11 + (-3 + -1x) Combine like terms: 11 + -3 = 8 -63 + 21x = 8 + -1x Solving -63 + 21x = 8 + -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. -63 + 21x + x = 8 + -1x + x Combine like terms: 21x + x = 22x -63 + 22x = 8 + -1x + x Combine like terms: -1x + x = 0 -63 + 22x = 8 + 0 -63 + 22x = 8 Add '63' to each side of the equation. -63 + 63 + 22x = 8 + 63 Combine like terms: -63 + 63 = 0 0 + 22x = 8 + 63 22x = 8 + 63 Combine like terms: 8 + 63 = 71 22x = 71 Divide each side by '22'. x = 3.227272727 Simplifying x = 3.227272727
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