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Simplifying 2x + 8 = 5 + -1(7x + 4) Reorder the terms: 8 + 2x = 5 + -1(7x + 4) Reorder the terms: 8 + 2x = 5 + -1(4 + 7x) 8 + 2x = 5 + (4 * -1 + 7x * -1) 8 + 2x = 5 + (-4 + -7x) Combine like terms: 5 + -4 = 1 8 + 2x = 1 + -7x Solving 8 + 2x = 1 + -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 = 1 + -7x + 7x Combine like terms: 2x + 7x = 9x 8 + 9x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 9x = 1 + 0 8 + 9x = 1 Add '-8' to each side of the equation. 8 + -8 + 9x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 1 + -8 9x = 1 + -8 Combine like terms: 1 + -8 = -7 9x = -7 Divide each side by '9'. x = -0.7777777778 Simplifying x = -0.7777777778
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