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Simplifying 5x + -1(3x + -7) + 2x + (2x + -3) = 14 Reorder the terms: 5x + -1(-7 + 3x) + 2x + (2x + -3) = 14 5x + (-7 * -1 + 3x * -1) + 2x + (2x + -3) = 14 5x + (7 + -3x) + 2x + (2x + -3) = 14 Reorder the terms: 5x + 7 + -3x + 2x + (-3 + 2x) = 14 Remove parenthesis around (-3 + 2x) 5x + 7 + -3x + 2x + -3 + 2x = 14 Reorder the terms: 7 + -3 + 5x + -3x + 2x + 2x = 14 Combine like terms: 7 + -3 = 4 4 + 5x + -3x + 2x + 2x = 14 Combine like terms: 5x + -3x = 2x 4 + 2x + 2x + 2x = 14 Combine like terms: 2x + 2x = 4x 4 + 4x + 2x = 14 Combine like terms: 4x + 2x = 6x 4 + 6x = 14 Solving 4 + 6x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 14 + -4 6x = 14 + -4 Combine like terms: 14 + -4 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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