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Simplifying 6x + 2 = -1x + -47 Reorder the terms: 2 + 6x = -1x + -47 Reorder the terms: 2 + 6x = -47 + -1x Solving 2 + 6x = -47 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 6x + x = -47 + -1x + x Combine like terms: 6x + x = 7x 2 + 7x = -47 + -1x + x Combine like terms: -1x + x = 0 2 + 7x = -47 + 0 2 + 7x = -47 Add '-2' to each side of the equation. 2 + -2 + 7x = -47 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = -47 + -2 7x = -47 + -2 Combine like terms: -47 + -2 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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