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Simplifying -1x + 2 = 6x + -47 Reorder the terms: 2 + -1x = 6x + -47 Reorder the terms: 2 + -1x = -47 + 6x Solving 2 + -1x = -47 + 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. 2 + -1x + -6x = -47 + 6x + -6x Combine like terms: -1x + -6x = -7x 2 + -7x = -47 + 6x + -6x Combine like terms: 6x + -6x = 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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