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Simplifying 5x + 7 = 13 + -4x Reorder the terms: 7 + 5x = 13 + -4x Solving 7 + 5x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + 5x + 4x = 13 + -4x + 4x Combine like terms: 5x + 4x = 9x 7 + 9x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 9x = 13 + 0 7 + 9x = 13 Add '-7' to each side of the equation. 7 + -7 + 9x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 13 + -7 9x = 13 + -7 Combine like terms: 13 + -7 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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