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Simplifying 6 + -6(x + -8) = -4 + -1(x + -2) Reorder the terms: 6 + -6(-8 + x) = -4 + -1(x + -2) 6 + (-8 * -6 + x * -6) = -4 + -1(x + -2) 6 + (48 + -6x) = -4 + -1(x + -2) Combine like terms: 6 + 48 = 54 54 + -6x = -4 + -1(x + -2) Reorder the terms: 54 + -6x = -4 + -1(-2 + x) 54 + -6x = -4 + (-2 * -1 + x * -1) 54 + -6x = -4 + (2 + -1x) Combine like terms: -4 + 2 = -2 54 + -6x = -2 + -1x Solving 54 + -6x = -2 + -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. 54 + -6x + x = -2 + -1x + x Combine like terms: -6x + x = -5x 54 + -5x = -2 + -1x + x Combine like terms: -1x + x = 0 54 + -5x = -2 + 0 54 + -5x = -2 Add '-54' to each side of the equation. 54 + -54 + -5x = -2 + -54 Combine like terms: 54 + -54 = 0 0 + -5x = -2 + -54 -5x = -2 + -54 Combine like terms: -2 + -54 = -56 -5x = -56 Divide each side by '-5'. x = 11.2 Simplifying x = 11.2
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