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Simplifying 5x + 3 = 2 + -1(4x + -7) Reorder the terms: 3 + 5x = 2 + -1(4x + -7) Reorder the terms: 3 + 5x = 2 + -1(-7 + 4x) 3 + 5x = 2 + (-7 * -1 + 4x * -1) 3 + 5x = 2 + (7 + -4x) Combine like terms: 2 + 7 = 9 3 + 5x = 9 + -4x Solving 3 + 5x = 9 + -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. 3 + 5x + 4x = 9 + -4x + 4x Combine like terms: 5x + 4x = 9x 3 + 9x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 9x = 9 + 0 3 + 9x = 9 Add '-3' to each side of the equation. 3 + -3 + 9x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 9 + -3 9x = 9 + -3 Combine like terms: 9 + -3 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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