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Simplifying 6 + x = 9(x + -5) Reorder the terms: 6 + x = 9(-5 + x) 6 + x = (-5 * 9 + x * 9) 6 + x = (-45 + 9x) Solving 6 + x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + x + -9x = -45 + 9x + -9x Combine like terms: x + -9x = -8x 6 + -8x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -8x = -45 + 0 6 + -8x = -45 Add '-6' to each side of the equation. 6 + -6 + -8x = -45 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -45 + -6 -8x = -45 + -6 Combine like terms: -45 + -6 = -51 -8x = -51 Divide each side by '-8'. x = 6.375 Simplifying x = 6.375
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