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Simplifying 6x + -7 = -47 + -3x Reorder the terms: -7 + 6x = -47 + -3x Solving -7 + 6x = -47 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 6x + 3x = -47 + -3x + 3x Combine like terms: 6x + 3x = 9x -7 + 9x = -47 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 9x = -47 + 0 -7 + 9x = -47 Add '7' to each side of the equation. -7 + 7 + 9x = -47 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = -47 + 7 9x = -47 + 7 Combine like terms: -47 + 7 = -40 9x = -40 Divide each side by '9'. x = -4.444444444 Simplifying x = -4.444444444
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