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Simplifying -12(x + -5) + 7(3 + -1x) = 15 Reorder the terms: -12(-5 + x) + 7(3 + -1x) = 15 (-5 * -12 + x * -12) + 7(3 + -1x) = 15 (60 + -12x) + 7(3 + -1x) = 15 60 + -12x + (3 * 7 + -1x * 7) = 15 60 + -12x + (21 + -7x) = 15 Reorder the terms: 60 + 21 + -12x + -7x = 15 Combine like terms: 60 + 21 = 81 81 + -12x + -7x = 15 Combine like terms: -12x + -7x = -19x 81 + -19x = 15 Solving 81 + -19x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -19x = 15 + -81 Combine like terms: 81 + -81 = 0 0 + -19x = 15 + -81 -19x = 15 + -81 Combine like terms: 15 + -81 = -66 -19x = -66 Divide each side by '-19'. x = 3.473684211 Simplifying x = 3.473684211
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