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Simplifying 5x + -55 = 6x + -42 Reorder the terms: -55 + 5x = 6x + -42 Reorder the terms: -55 + 5x = -42 + 6x Solving -55 + 5x = -42 + 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. -55 + 5x + -6x = -42 + 6x + -6x Combine like terms: 5x + -6x = -1x -55 + -1x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -55 + -1x = -42 + 0 -55 + -1x = -42 Add '55' to each side of the equation. -55 + 55 + -1x = -42 + 55 Combine like terms: -55 + 55 = 0 0 + -1x = -42 + 55 -1x = -42 + 55 Combine like terms: -42 + 55 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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