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Simplifying 4x + 7 = 6 + -1(5x + -7) Reorder the terms: 7 + 4x = 6 + -1(5x + -7) Reorder the terms: 7 + 4x = 6 + -1(-7 + 5x) 7 + 4x = 6 + (-7 * -1 + 5x * -1) 7 + 4x = 6 + (7 + -5x) Combine like terms: 6 + 7 = 13 7 + 4x = 13 + -5x Solving 7 + 4x = 13 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + 4x + 5x = 13 + -5x + 5x Combine like terms: 4x + 5x = 9x 7 + 9x = 13 + -5x + 5x Combine like terms: -5x + 5x = 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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