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Simplifying 5x + 37 = 13x + -35 Reorder the terms: 37 + 5x = 13x + -35 Reorder the terms: 37 + 5x = -35 + 13x Solving 37 + 5x = -35 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 37 + 5x + -13x = -35 + 13x + -13x Combine like terms: 5x + -13x = -8x 37 + -8x = -35 + 13x + -13x Combine like terms: 13x + -13x = 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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