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Simplifying 5(3x + -7) = 2(4 + -3x) Reorder the terms: 5(-7 + 3x) = 2(4 + -3x) (-7 * 5 + 3x * 5) = 2(4 + -3x) (-35 + 15x) = 2(4 + -3x) -35 + 15x = (4 * 2 + -3x * 2) -35 + 15x = (8 + -6x) Solving -35 + 15x = 8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -35 + 15x + 6x = 8 + -6x + 6x Combine like terms: 15x + 6x = 21x -35 + 21x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 -35 + 21x = 8 + 0 -35 + 21x = 8 Add '35' to each side of the equation. -35 + 35 + 21x = 8 + 35 Combine like terms: -35 + 35 = 0 0 + 21x = 8 + 35 21x = 8 + 35 Combine like terms: 8 + 35 = 43 21x = 43 Divide each side by '21'. x = 2.047619048 Simplifying x = 2.047619048
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