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Simplifying x + -4(x + -3) = 8 + -1(8x + 6) Reorder the terms: x + -4(-3 + x) = 8 + -1(8x + 6) x + (-3 * -4 + x * -4) = 8 + -1(8x + 6) x + (12 + -4x) = 8 + -1(8x + 6) Reorder the terms: 12 + x + -4x = 8 + -1(8x + 6) Combine like terms: x + -4x = -3x 12 + -3x = 8 + -1(8x + 6) Reorder the terms: 12 + -3x = 8 + -1(6 + 8x) 12 + -3x = 8 + (6 * -1 + 8x * -1) 12 + -3x = 8 + (-6 + -8x) Combine like terms: 8 + -6 = 2 12 + -3x = 2 + -8x Solving 12 + -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. 12 + -3x + 8x = 2 + -8x + 8x Combine like terms: -3x + 8x = 5x 12 + 5x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 5x = 2 + 0 12 + 5x = 2 Add '-12' to each side of the equation. 12 + -12 + 5x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 2 + -12 5x = 2 + -12 Combine like terms: 2 + -12 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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