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Simplifying 6x + 7x + -13 + -42 = 50 + -100 + 9x Reorder the terms: -13 + -42 + 6x + 7x = 50 + -100 + 9x Combine like terms: -13 + -42 = -55 -55 + 6x + 7x = 50 + -100 + 9x Combine like terms: 6x + 7x = 13x -55 + 13x = 50 + -100 + 9x Combine like terms: 50 + -100 = -50 -55 + 13x = -50 + 9x Solving -55 + 13x = -50 + 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. -55 + 13x + -9x = -50 + 9x + -9x Combine like terms: 13x + -9x = 4x -55 + 4x = -50 + 9x + -9x Combine like terms: 9x + -9x = 0 -55 + 4x = -50 + 0 -55 + 4x = -50 Add '55' to each side of the equation. -55 + 55 + 4x = -50 + 55 Combine like terms: -55 + 55 = 0 0 + 4x = -50 + 55 4x = -50 + 55 Combine like terms: -50 + 55 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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