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Simplifying 8 + 4x + -1 = -8(x + -1) + -1(1 + -3x) Reorder the terms: 8 + -1 + 4x = -8(x + -1) + -1(1 + -3x) Combine like terms: 8 + -1 = 7 7 + 4x = -8(x + -1) + -1(1 + -3x) Reorder the terms: 7 + 4x = -8(-1 + x) + -1(1 + -3x) 7 + 4x = (-1 * -8 + x * -8) + -1(1 + -3x) 7 + 4x = (8 + -8x) + -1(1 + -3x) 7 + 4x = 8 + -8x + (1 * -1 + -3x * -1) 7 + 4x = 8 + -8x + (-1 + 3x) Reorder the terms: 7 + 4x = 8 + -1 + -8x + 3x Combine like terms: 8 + -1 = 7 7 + 4x = 7 + -8x + 3x Combine like terms: -8x + 3x = -5x 7 + 4x = 7 + -5x Add '-7' to each side of the equation. 7 + -7 + 4x = 7 + -7 + -5x Combine like terms: 7 + -7 = 0 0 + 4x = 7 + -7 + -5x 4x = 7 + -7 + -5x Combine like terms: 7 + -7 = 0 4x = 0 + -5x 4x = -5x Solving 4x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4x + 5x = -5x + 5x Combine like terms: 4x + 5x = 9x 9x = -5x + 5x Combine like terms: -5x + 5x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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