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Simplifying -3x + 37 = 5(x + -7) Reorder the terms: 37 + -3x = 5(x + -7) Reorder the terms: 37 + -3x = 5(-7 + x) 37 + -3x = (-7 * 5 + x * 5) 37 + -3x = (-35 + 5x) Solving 37 + -3x = -35 + 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. 37 + -3x + -5x = -35 + 5x + -5x Combine like terms: -3x + -5x = -8x 37 + -8x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 37 + -8x = -35 + 0 37 + -8x = -35 Add '-37' to each side of the equation. 37 + -37 + -8x = -35 + -37 Combine like terms: 37 + -37 = 0 0 + -8x = -35 + -37 -8x = -35 + -37 Combine like terms: -35 + -37 = -72 -8x = -72 Divide each side by '-8'. x = 9 Simplifying x = 9
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