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Simplifying -2x + -7 = 6x + -47 Reorder the terms: -7 + -2x = 6x + -47 Reorder the terms: -7 + -2x = -47 + 6x Solving -7 + -2x = -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. -7 + -2x + -6x = -47 + 6x + -6x Combine like terms: -2x + -6x = -8x -7 + -8x = -47 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -8x = -47 + 0 -7 + -8x = -47 Add '7' to each side of the equation. -7 + 7 + -8x = -47 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -47 + 7 -8x = -47 + 7 Combine like terms: -47 + 7 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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