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Simplifying 5x + 7 = 5 + -1(2x + -7) Reorder the terms: 7 + 5x = 5 + -1(2x + -7) Reorder the terms: 7 + 5x = 5 + -1(-7 + 2x) 7 + 5x = 5 + (-7 * -1 + 2x * -1) 7 + 5x = 5 + (7 + -2x) Combine like terms: 5 + 7 = 12 7 + 5x = 12 + -2x Solving 7 + 5x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 5x + 2x = 12 + -2x + 2x Combine like terms: 5x + 2x = 7x 7 + 7x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 7x = 12 + 0 7 + 7x = 12 Add '-7' to each side of the equation. 7 + -7 + 7x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 12 + -7 7x = 12 + -7 Combine like terms: 12 + -7 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143
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