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Simplifying -8(x + 6) = 12 + -6(x + -2) Reorder the terms: -8(6 + x) = 12 + -6(x + -2) (6 * -8 + x * -8) = 12 + -6(x + -2) (-48 + -8x) = 12 + -6(x + -2) Reorder the terms: -48 + -8x = 12 + -6(-2 + x) -48 + -8x = 12 + (-2 * -6 + x * -6) -48 + -8x = 12 + (12 + -6x) Combine like terms: 12 + 12 = 24 -48 + -8x = 24 + -6x Solving -48 + -8x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -48 + -8x + 6x = 24 + -6x + 6x Combine like terms: -8x + 6x = -2x -48 + -2x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -48 + -2x = 24 + 0 -48 + -2x = 24 Add '48' to each side of the equation. -48 + 48 + -2x = 24 + 48 Combine like terms: -48 + 48 = 0 0 + -2x = 24 + 48 -2x = 24 + 48 Combine like terms: 24 + 48 = 72 -2x = 72 Divide each side by '-2'. x = -36 Simplifying x = -36
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