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Simplifying -12(8x + 9) + 2 = (5x + 10) Reorder the terms: -12(9 + 8x) + 2 = (5x + 10) (9 * -12 + 8x * -12) + 2 = (5x + 10) (-108 + -96x) + 2 = (5x + 10) Reorder the terms: -108 + 2 + -96x = (5x + 10) Combine like terms: -108 + 2 = -106 -106 + -96x = (5x + 10) Reorder the terms: -106 + -96x = (10 + 5x) Remove parenthesis around (10 + 5x) -106 + -96x = 10 + 5x Solving -106 + -96x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -106 + -96x + -5x = 10 + 5x + -5x Combine like terms: -96x + -5x = -101x -106 + -101x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -106 + -101x = 10 + 0 -106 + -101x = 10 Add '106' to each side of the equation. -106 + 106 + -101x = 10 + 106 Combine like terms: -106 + 106 = 0 0 + -101x = 10 + 106 -101x = 10 + 106 Combine like terms: 10 + 106 = 116 -101x = 116 Divide each side by '-101'. x = -1.148514851 Simplifying x = -1.148514851
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