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Simplifying 4x + 13 = -7x + 42 Reorder the terms: 13 + 4x = -7x + 42 Reorder the terms: 13 + 4x = 42 + -7x Solving 13 + 4x = 42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 13 + 4x + 7x = 42 + -7x + 7x Combine like terms: 4x + 7x = 11x 13 + 11x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 13 + 11x = 42 + 0 13 + 11x = 42 Add '-13' to each side of the equation. 13 + -13 + 11x = 42 + -13 Combine like terms: 13 + -13 = 0 0 + 11x = 42 + -13 11x = 42 + -13 Combine like terms: 42 + -13 = 29 11x = 29 Divide each side by '11'. x = 2.636363636 Simplifying x = 2.636363636
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