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Simplifying -2x + 8 = 5 + -1(4x + 4) Reorder the terms: 8 + -2x = 5 + -1(4x + 4) Reorder the terms: 8 + -2x = 5 + -1(4 + 4x) 8 + -2x = 5 + (4 * -1 + 4x * -1) 8 + -2x = 5 + (-4 + -4x) Combine like terms: 5 + -4 = 1 8 + -2x = 1 + -4x Solving 8 + -2x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + -2x + 4x = 1 + -4x + 4x Combine like terms: -2x + 4x = 2x 8 + 2x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 2x = 1 + 0 8 + 2x = 1 Add '-8' to each side of the equation. 8 + -8 + 2x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 1 + -8 2x = 1 + -8 Combine like terms: 1 + -8 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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