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