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Simplifying -2x + 8 = 5 + -1(7x + 1) Reorder the terms: 8 + -2x = 5 + -1(7x + 1) Reorder the terms: 8 + -2x = 5 + -1(1 + 7x) 8 + -2x = 5 + (1 * -1 + 7x * -1) 8 + -2x = 5 + (-1 + -7x) Combine like terms: 5 + -1 = 4 8 + -2x = 4 + -7x Solving 8 + -2x = 4 + -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 = 4 + -7x + 7x Combine like terms: -2x + 7x = 5x 8 + 5x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 5x = 4 + 0 8 + 5x = 4 Add '-8' to each side of the equation. 8 + -8 + 5x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 4 + -8 5x = 4 + -8 Combine like terms: 4 + -8 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8
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