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Simplifying 5(3x + -7) = 3x + -8 Reorder the terms: 5(-7 + 3x) = 3x + -8 (-7 * 5 + 3x * 5) = 3x + -8 (-35 + 15x) = 3x + -8 Reorder the terms: -35 + 15x = -8 + 3x Solving -35 + 15x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 15x + -3x = -8 + 3x + -3x Combine like terms: 15x + -3x = 12x -35 + 12x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 12x = -8 + 0 -35 + 12x = -8 Add '35' to each side of the equation. -35 + 35 + 12x = -8 + 35 Combine like terms: -35 + 35 = 0 0 + 12x = -8 + 35 12x = -8 + 35 Combine like terms: -8 + 35 = 27 12x = 27 Divide each side by '12'. x = 2.25 Simplifying x = 2.25
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