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Simplifying 5x + -3 = 30 + -1(7x + 7) Reorder the terms: -3 + 5x = 30 + -1(7x + 7) Reorder the terms: -3 + 5x = 30 + -1(7 + 7x) -3 + 5x = 30 + (7 * -1 + 7x * -1) -3 + 5x = 30 + (-7 + -7x) Combine like terms: 30 + -7 = 23 -3 + 5x = 23 + -7x Solving -3 + 5x = 23 + -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. -3 + 5x + 7x = 23 + -7x + 7x Combine like terms: 5x + 7x = 12x -3 + 12x = 23 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 12x = 23 + 0 -3 + 12x = 23 Add '3' to each side of the equation. -3 + 3 + 12x = 23 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 23 + 3 12x = 23 + 3 Combine like terms: 23 + 3 = 26 12x = 26 Divide each side by '12'. x = 2.166666667 Simplifying x = 2.166666667
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