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Simplifying 7(3x + -5) = 11 + -1(x + -9) Reorder the terms: 7(-5 + 3x) = 11 + -1(x + -9) (-5 * 7 + 3x * 7) = 11 + -1(x + -9) (-35 + 21x) = 11 + -1(x + -9) Reorder the terms: -35 + 21x = 11 + -1(-9 + x) -35 + 21x = 11 + (-9 * -1 + x * -1) -35 + 21x = 11 + (9 + -1x) Combine like terms: 11 + 9 = 20 -35 + 21x = 20 + -1x Solving -35 + 21x = 20 + -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. -35 + 21x + x = 20 + -1x + x Combine like terms: 21x + x = 22x -35 + 22x = 20 + -1x + x Combine like terms: -1x + x = 0 -35 + 22x = 20 + 0 -35 + 22x = 20 Add '35' to each side of the equation. -35 + 35 + 22x = 20 + 35 Combine like terms: -35 + 35 = 0 0 + 22x = 20 + 35 22x = 20 + 35 Combine like terms: 20 + 35 = 55 22x = 55 Divide each side by '22'. x = 2.5 Simplifying x = 2.5
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