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Simplifying -7x + 30 = -5(x + -8) Reorder the terms: 30 + -7x = -5(x + -8) Reorder the terms: 30 + -7x = -5(-8 + x) 30 + -7x = (-8 * -5 + x * -5) 30 + -7x = (40 + -5x) Solving 30 + -7x = 40 + -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. 30 + -7x + 5x = 40 + -5x + 5x Combine like terms: -7x + 5x = -2x 30 + -2x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 30 + -2x = 40 + 0 30 + -2x = 40 Add '-30' to each side of the equation. 30 + -30 + -2x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 40 + -30 -2x = 40 + -30 Combine like terms: 40 + -30 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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