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Simplifying 4 + -1x = -8x + -1(3x + 6) Reorder the terms: 4 + -1x = -8x + -1(6 + 3x) 4 + -1x = -8x + (6 * -1 + 3x * -1) 4 + -1x = -8x + (-6 + -3x) Reorder the terms: 4 + -1x = -6 + -8x + -3x Combine like terms: -8x + -3x = -11x 4 + -1x = -6 + -11x Solving 4 + -1x = -6 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 4 + -1x + 11x = -6 + -11x + 11x Combine like terms: -1x + 11x = 10x 4 + 10x = -6 + -11x + 11x Combine like terms: -11x + 11x = 0 4 + 10x = -6 + 0 4 + 10x = -6 Add '-4' to each side of the equation. 4 + -4 + 10x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = -6 + -4 10x = -6 + -4 Combine like terms: -6 + -4 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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