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Simplifying 5(3x + -7) = 5(x + -2) + 37 Reorder the terms: 5(-7 + 3x) = 5(x + -2) + 37 (-7 * 5 + 3x * 5) = 5(x + -2) + 37 (-35 + 15x) = 5(x + -2) + 37 Reorder the terms: -35 + 15x = 5(-2 + x) + 37 -35 + 15x = (-2 * 5 + x * 5) + 37 -35 + 15x = (-10 + 5x) + 37 Reorder the terms: -35 + 15x = -10 + 37 + 5x Combine like terms: -10 + 37 = 27 -35 + 15x = 27 + 5x Solving -35 + 15x = 27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -35 + 15x + -5x = 27 + 5x + -5x Combine like terms: 15x + -5x = 10x -35 + 10x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 10x = 27 + 0 -35 + 10x = 27 Add '35' to each side of the equation. -35 + 35 + 10x = 27 + 35 Combine like terms: -35 + 35 = 0 0 + 10x = 27 + 35 10x = 27 + 35 Combine like terms: 27 + 35 = 62 10x = 62 Divide each side by '10'. x = 6.2 Simplifying x = 6.2
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