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Simplifying 4x + -1(x + 7) = 8x + -2 Reorder the terms: 4x + -1(7 + x) = 8x + -2 4x + (7 * -1 + x * -1) = 8x + -2 4x + (-7 + -1x) = 8x + -2 Reorder the terms: -7 + 4x + -1x = 8x + -2 Combine like terms: 4x + -1x = 3x -7 + 3x = 8x + -2 Reorder the terms: -7 + 3x = -2 + 8x Solving -7 + 3x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 3x + -8x = -2 + 8x + -8x Combine like terms: 3x + -8x = -5x -7 + -5x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -5x = -2 + 0 -7 + -5x = -2 Add '7' to each side of the equation. -7 + 7 + -5x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -2 + 7 -5x = -2 + 7 Combine like terms: -2 + 7 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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