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Simplifying x + 6 = 5x + -9 Reorder the terms: 6 + x = 5x + -9 Reorder the terms: 6 + x = -9 + 5x Solving 6 + x = -9 + 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. 6 + x + -5x = -9 + 5x + -5x Combine like terms: x + -5x = -4x 6 + -4x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -4x = -9 + 0 6 + -4x = -9 Add '-6' to each side of the equation. 6 + -6 + -4x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -9 + -6 -4x = -9 + -6 Combine like terms: -9 + -6 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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