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Simplifying 5x + 13 = -1x + 55 Reorder the terms: 13 + 5x = -1x + 55 Reorder the terms: 13 + 5x = 55 + -1x Solving 13 + 5x = 55 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 13 + 5x + x = 55 + -1x + x Combine like terms: 5x + x = 6x 13 + 6x = 55 + -1x + x Combine like terms: -1x + x = 0 13 + 6x = 55 + 0 13 + 6x = 55 Add '-13' to each side of the equation. 13 + -13 + 6x = 55 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 55 + -13 6x = 55 + -13 Combine like terms: 55 + -13 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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