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Simplifying 6x + 10 + -5x = 46 + 7x Reorder the terms: 10 + 6x + -5x = 46 + 7x Combine like terms: 6x + -5x = 1x 10 + 1x = 46 + 7x Solving 10 + 1x = 46 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 1x + -7x = 46 + 7x + -7x Combine like terms: 1x + -7x = -6x 10 + -6x = 46 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -6x = 46 + 0 10 + -6x = 46 Add '-10' to each side of the equation. 10 + -10 + -6x = 46 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 46 + -10 -6x = 46 + -10 Combine like terms: 46 + -10 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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