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Simplifying -6(x + 8) = -4 + -1(x + -2) Reorder the terms: -6(8 + x) = -4 + -1(x + -2) (8 * -6 + x * -6) = -4 + -1(x + -2) (-48 + -6x) = -4 + -1(x + -2) Reorder the terms: -48 + -6x = -4 + -1(-2 + x) -48 + -6x = -4 + (-2 * -1 + x * -1) -48 + -6x = -4 + (2 + -1x) Combine like terms: -4 + 2 = -2 -48 + -6x = -2 + -1x Solving -48 + -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. -48 + -6x + x = -2 + -1x + x Combine like terms: -6x + x = -5x -48 + -5x = -2 + -1x + x Combine like terms: -1x + x = 0 -48 + -5x = -2 + 0 -48 + -5x = -2 Add '48' to each side of the equation. -48 + 48 + -5x = -2 + 48 Combine like terms: -48 + 48 = 0 0 + -5x = -2 + 48 -5x = -2 + 48 Combine like terms: -2 + 48 = 46 -5x = 46 Divide each side by '-5'. x = -9.2 Simplifying x = -9.2
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