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Simplifying -3x + -8(x + 6) = -114 Reorder the terms: -3x + -8(6 + x) = -114 -3x + (6 * -8 + x * -8) = -114 -3x + (-48 + -8x) = -114 Reorder the terms: -48 + -3x + -8x = -114 Combine like terms: -3x + -8x = -11x -48 + -11x = -114 Solving -48 + -11x = -114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -11x = -114 + 48 Combine like terms: -48 + 48 = 0 0 + -11x = -114 + 48 -11x = -114 + 48 Combine like terms: -114 + 48 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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