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Simplifying 18x + -8x + 42 = 7x + 2x + -13 Reorder the terms: 42 + 18x + -8x = 7x + 2x + -13 Combine like terms: 18x + -8x = 10x 42 + 10x = 7x + 2x + -13 Reorder the terms: 42 + 10x = -13 + 7x + 2x Combine like terms: 7x + 2x = 9x 42 + 10x = -13 + 9x Solving 42 + 10x = -13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 42 + 10x + -9x = -13 + 9x + -9x Combine like terms: 10x + -9x = 1x 42 + 1x = -13 + 9x + -9x Combine like terms: 9x + -9x = 0 42 + 1x = -13 + 0 42 + 1x = -13 Add '-42' to each side of the equation. 42 + -42 + 1x = -13 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = -13 + -42 1x = -13 + -42 Combine like terms: -13 + -42 = -55 1x = -55 Divide each side by '1'. x = -55 Simplifying x = -55
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