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Simplifying 3x + 4(-4x + 12) = -82 Reorder the terms: 3x + 4(12 + -4x) = -82 3x + (12 * 4 + -4x * 4) = -82 3x + (48 + -16x) = -82 Reorder the terms: 48 + 3x + -16x = -82 Combine like terms: 3x + -16x = -13x 48 + -13x = -82 Solving 48 + -13x = -82 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 + -13x = -82 + -48 Combine like terms: 48 + -48 = 0 0 + -13x = -82 + -48 -13x = -82 + -48 Combine like terms: -82 + -48 = -130 -13x = -130 Divide each side by '-13'. x = 10 Simplifying x = 10
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