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Simplifying 7(3x + -5) = 3(6x + -11) Reorder the terms: 7(-5 + 3x) = 3(6x + -11) (-5 * 7 + 3x * 7) = 3(6x + -11) (-35 + 21x) = 3(6x + -11) Reorder the terms: -35 + 21x = 3(-11 + 6x) -35 + 21x = (-11 * 3 + 6x * 3) -35 + 21x = (-33 + 18x) Solving -35 + 21x = -33 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -35 + 21x + -18x = -33 + 18x + -18x Combine like terms: 21x + -18x = 3x -35 + 3x = -33 + 18x + -18x Combine like terms: 18x + -18x = 0 -35 + 3x = -33 + 0 -35 + 3x = -33 Add '35' to each side of the equation. -35 + 35 + 3x = -33 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = -33 + 35 3x = -33 + 35 Combine like terms: -33 + 35 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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