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Simplifying -5 + -5(x + -7) = 37 + 2x Reorder the terms: -5 + -5(-7 + x) = 37 + 2x -5 + (-7 * -5 + x * -5) = 37 + 2x -5 + (35 + -5x) = 37 + 2x Combine like terms: -5 + 35 = 30 30 + -5x = 37 + 2x Solving 30 + -5x = 37 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + -5x + -2x = 37 + 2x + -2x Combine like terms: -5x + -2x = -7x 30 + -7x = 37 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -7x = 37 + 0 30 + -7x = 37 Add '-30' to each side of the equation. 30 + -30 + -7x = 37 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = 37 + -30 -7x = 37 + -30 Combine like terms: 37 + -30 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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