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Simplifying 6 + -5x = x + -42 Reorder the terms: 6 + -5x = -42 + x Solving 6 + -5x = -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. 6 + -5x + -1x = -42 + x + -1x Combine like terms: -5x + -1x = -6x 6 + -6x = -42 + x + -1x Combine like terms: x + -1x = 0 6 + -6x = -42 + 0 6 + -6x = -42 Add '-6' to each side of the equation. 6 + -6 + -6x = -42 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -42 + -6 -6x = -42 + -6 Combine like terms: -42 + -6 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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