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Simplifying -7x + 37 = -7 + 5(x + -8) Reorder the terms: 37 + -7x = -7 + 5(x + -8) Reorder the terms: 37 + -7x = -7 + 5(-8 + x) 37 + -7x = -7 + (-8 * 5 + x * 5) 37 + -7x = -7 + (-40 + 5x) Combine like terms: -7 + -40 = -47 37 + -7x = -47 + 5x Solving 37 + -7x = -47 + 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 + -7x + -5x = -47 + 5x + -5x Combine like terms: -7x + -5x = -12x 37 + -12x = -47 + 5x + -5x Combine like terms: 5x + -5x = 0 37 + -12x = -47 + 0 37 + -12x = -47 Add '-37' to each side of the equation. 37 + -37 + -12x = -47 + -37 Combine like terms: 37 + -37 = 0 0 + -12x = -47 + -37 -12x = -47 + -37 Combine like terms: -47 + -37 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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