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Simplifying 6x + -7 = x + -42 Reorder the terms: -7 + 6x = x + -42 Reorder the terms: -7 + 6x = -42 + x Solving -7 + 6x = -42 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 6x + -1x = -42 + x + -1x Combine like terms: 6x + -1x = 5x -7 + 5x = -42 + x + -1x Combine like terms: x + -1x = 0 -7 + 5x = -42 + 0 -7 + 5x = -42 Add '7' to each side of the equation. -7 + 7 + 5x = -42 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = -42 + 7 5x = -42 + 7 Combine like terms: -42 + 7 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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