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Simplifying 3x + -4(-6x + -12) = -114 Reorder the terms: 3x + -4(-12 + -6x) = -114 3x + (-12 * -4 + -6x * -4) = -114 3x + (48 + 24x) = -114 Reorder the terms: 48 + 3x + 24x = -114 Combine like terms: 3x + 24x = 27x 48 + 27x = -114 Solving 48 + 27x = -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 + 27x = -114 + -48 Combine like terms: 48 + -48 = 0 0 + 27x = -114 + -48 27x = -114 + -48 Combine like terms: -114 + -48 = -162 27x = -162 Divide each side by '27'. x = -6 Simplifying x = -6
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