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Simplifying 5(x + -6) + 4 = 7(x + 2) * 12 Reorder the terms: 5(-6 + x) + 4 = 7(x + 2) * 12 (-6 * 5 + x * 5) + 4 = 7(x + 2) * 12 (-30 + 5x) + 4 = 7(x + 2) * 12 Reorder the terms: -30 + 4 + 5x = 7(x + 2) * 12 Combine like terms: -30 + 4 = -26 -26 + 5x = 7(x + 2) * 12 Reorder the terms: -26 + 5x = 7(2 + x) * 12 Reorder the terms for easier multiplication: -26 + 5x = 7 * 12(2 + x) Multiply 7 * 12 -26 + 5x = 84(2 + x) -26 + 5x = (2 * 84 + x * 84) -26 + 5x = (168 + 84x) Solving -26 + 5x = 168 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. -26 + 5x + -84x = 168 + 84x + -84x Combine like terms: 5x + -84x = -79x -26 + -79x = 168 + 84x + -84x Combine like terms: 84x + -84x = 0 -26 + -79x = 168 + 0 -26 + -79x = 168 Add '26' to each side of the equation. -26 + 26 + -79x = 168 + 26 Combine like terms: -26 + 26 = 0 0 + -79x = 168 + 26 -79x = 168 + 26 Combine like terms: 168 + 26 = 194 -79x = 194 Divide each side by '-79'. x = -2.455696203 Simplifying x = -2.455696203
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