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Simplifying 12(4 + -3x) = -1x + 3(12x + -9) (4 * 12 + -3x * 12) = -1x + 3(12x + -9) (48 + -36x) = -1x + 3(12x + -9) Reorder the terms: 48 + -36x = -1x + 3(-9 + 12x) 48 + -36x = -1x + (-9 * 3 + 12x * 3) 48 + -36x = -1x + (-27 + 36x) Reorder the terms: 48 + -36x = -27 + -1x + 36x Combine like terms: -1x + 36x = 35x 48 + -36x = -27 + 35x Solving 48 + -36x = -27 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 48 + -36x + -35x = -27 + 35x + -35x Combine like terms: -36x + -35x = -71x 48 + -71x = -27 + 35x + -35x Combine like terms: 35x + -35x = 0 48 + -71x = -27 + 0 48 + -71x = -27 Add '-48' to each side of the equation. 48 + -48 + -71x = -27 + -48 Combine like terms: 48 + -48 = 0 0 + -71x = -27 + -48 -71x = -27 + -48 Combine like terms: -27 + -48 = -75 -71x = -75 Divide each side by '-71'. x = 1.056338028 Simplifying x = 1.056338028
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