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Simplifying 7(6 + -1(-8x + -9)) = 392x + 483 Reorder the terms: 7(6 + -1(-9 + -8x)) = 392x + 483 7(6 + (-9 * -1 + -8x * -1)) = 392x + 483 7(6 + (9 + 8x)) = 392x + 483 Combine like terms: 6 + 9 = 15 7(15 + 8x) = 392x + 483 (15 * 7 + 8x * 7) = 392x + 483 (105 + 56x) = 392x + 483 Reorder the terms: 105 + 56x = 483 + 392x Solving 105 + 56x = 483 + 392x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-392x' to each side of the equation. 105 + 56x + -392x = 483 + 392x + -392x Combine like terms: 56x + -392x = -336x 105 + -336x = 483 + 392x + -392x Combine like terms: 392x + -392x = 0 105 + -336x = 483 + 0 105 + -336x = 483 Add '-105' to each side of the equation. 105 + -105 + -336x = 483 + -105 Combine like terms: 105 + -105 = 0 0 + -336x = 483 + -105 -336x = 483 + -105 Combine like terms: 483 + -105 = 378 -336x = 378 Divide each side by '-336'. x = -1.125 Simplifying x = -1.125
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