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Simplifying -2x + 8 = 6 + -1(7x + 4) Reorder the terms: 8 + -2x = 6 + -1(7x + 4) Reorder the terms: 8 + -2x = 6 + -1(4 + 7x) 8 + -2x = 6 + (4 * -1 + 7x * -1) 8 + -2x = 6 + (-4 + -7x) Combine like terms: 6 + -4 = 2 8 + -2x = 2 + -7x Solving 8 + -2x = 2 + -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 = 2 + -7x + 7x Combine like terms: -2x + 7x = 5x 8 + 5x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 5x = 2 + 0 8 + 5x = 2 Add '-8' to each side of the equation. 8 + -8 + 5x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 2 + -8 5x = 2 + -8 Combine like terms: 2 + -8 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2
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