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Simplifying -1x + 10 = 6x + -46 Reorder the terms: 10 + -1x = 6x + -46 Reorder the terms: 10 + -1x = -46 + 6x Solving 10 + -1x = -46 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + -1x + -6x = -46 + 6x + -6x Combine like terms: -1x + -6x = -7x 10 + -7x = -46 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -7x = -46 + 0 10 + -7x = -46 Add '-10' to each side of the equation. 10 + -10 + -7x = -46 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -46 + -10 -7x = -46 + -10 Combine like terms: -46 + -10 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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