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Simplifying -4x + 13 = 7x + 22 Reorder the terms: 13 + -4x = 7x + 22 Reorder the terms: 13 + -4x = 22 + 7x Solving 13 + -4x = 22 + 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 = 22 + 7x + -7x Combine like terms: -4x + -7x = -11x 13 + -11x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -11x = 22 + 0 13 + -11x = 22 Add '-13' to each side of the equation. 13 + -13 + -11x = 22 + -13 Combine like terms: 13 + -13 = 0 0 + -11x = 22 + -13 -11x = 22 + -13 Combine like terms: 22 + -13 = 9 -11x = 9 Divide each side by '-11'. x = -0.8181818182 Simplifying x = -0.8181818182
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