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Simplifying 5(x + 1) + -1(2x + -3) = 3 Reorder the terms: 5(1 + x) + -1(2x + -3) = 3 (1 * 5 + x * 5) + -1(2x + -3) = 3 (5 + 5x) + -1(2x + -3) = 3 Reorder the terms: 5 + 5x + -1(-3 + 2x) = 3 5 + 5x + (-3 * -1 + 2x * -1) = 3 5 + 5x + (3 + -2x) = 3 Reorder the terms: 5 + 3 + 5x + -2x = 3 Combine like terms: 5 + 3 = 8 8 + 5x + -2x = 3 Combine like terms: 5x + -2x = 3x 8 + 3x = 3 Solving 8 + 3x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 3 + -8 3x = 3 + -8 Combine like terms: 3 + -8 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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