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Simplifying 10 + -6x = 3x + -46 Reorder the terms: 10 + -6x = -46 + 3x Solving 10 + -6x = -46 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -6x + -3x = -46 + 3x + -3x Combine like terms: -6x + -3x = -9x 10 + -9x = -46 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -9x = -46 + 0 10 + -9x = -46 Add '-10' to each side of the equation. 10 + -10 + -9x = -46 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = -46 + -10 -9x = -46 + -10 Combine like terms: -46 + -10 = -56 -9x = -56 Divide each side by '-9'. x = 6.222222222 Simplifying x = 6.222222222
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