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Simplifying 78 = 9x + 12(8x + -6) Reorder the terms: 78 = 9x + 12(-6 + 8x) 78 = 9x + (-6 * 12 + 8x * 12) 78 = 9x + (-72 + 96x) Reorder the terms: 78 = -72 + 9x + 96x Combine like terms: 9x + 96x = 105x 78 = -72 + 105x Solving 78 = -72 + 105x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105x' to each side of the equation. 78 + -105x = -72 + 105x + -105x Combine like terms: 105x + -105x = 0 78 + -105x = -72 + 0 78 + -105x = -72 Add '-78' to each side of the equation. 78 + -78 + -105x = -72 + -78 Combine like terms: 78 + -78 = 0 0 + -105x = -72 + -78 -105x = -72 + -78 Combine like terms: -72 + -78 = -150 -105x = -150 Divide each side by '-105'. x = 1.428571429 Simplifying x = 1.428571429
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