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Simplifying 8 + -6(2x + -4) = 5 + -1(x + -3) Reorder the terms: 8 + -6(-4 + 2x) = 5 + -1(x + -3) 8 + (-4 * -6 + 2x * -6) = 5 + -1(x + -3) 8 + (24 + -12x) = 5 + -1(x + -3) Combine like terms: 8 + 24 = 32 32 + -12x = 5 + -1(x + -3) Reorder the terms: 32 + -12x = 5 + -1(-3 + x) 32 + -12x = 5 + (-3 * -1 + x * -1) 32 + -12x = 5 + (3 + -1x) Combine like terms: 5 + 3 = 8 32 + -12x = 8 + -1x Solving 32 + -12x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 32 + -12x + x = 8 + -1x + x Combine like terms: -12x + x = -11x 32 + -11x = 8 + -1x + x Combine like terms: -1x + x = 0 32 + -11x = 8 + 0 32 + -11x = 8 Add '-32' to each side of the equation. 32 + -32 + -11x = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -11x = 8 + -32 -11x = 8 + -32 Combine like terms: 8 + -32 = -24 -11x = -24 Divide each side by '-11'. x = 2.181818182 Simplifying x = 2.181818182
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