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Simplifying -2x + 8 = -7(x + 1) Reorder the terms: 8 + -2x = -7(x + 1) Reorder the terms: 8 + -2x = -7(1 + x) 8 + -2x = (1 * -7 + x * -7) 8 + -2x = (-7 + -7x) Solving 8 + -2x = -7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 8 + -2x + 7x = -7 + -7x + 7x Combine like terms: -2x + 7x = 5x 8 + 5x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 5x = -7 + 0 8 + 5x = -7 Add '-8' to each side of the equation. 8 + -8 + 5x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -7 + -8 5x = -7 + -8 Combine like terms: -7 + -8 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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