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Simplifying 4(2x + 1) + -5(x + -3) = 17 Reorder the terms: 4(1 + 2x) + -5(x + -3) = 17 (1 * 4 + 2x * 4) + -5(x + -3) = 17 (4 + 8x) + -5(x + -3) = 17 Reorder the terms: 4 + 8x + -5(-3 + x) = 17 4 + 8x + (-3 * -5 + x * -5) = 17 4 + 8x + (15 + -5x) = 17 Reorder the terms: 4 + 15 + 8x + -5x = 17 Combine like terms: 4 + 15 = 19 19 + 8x + -5x = 17 Combine like terms: 8x + -5x = 3x 19 + 3x = 17 Solving 19 + 3x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 3x = 17 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 17 + -19 3x = 17 + -19 Combine like terms: 17 + -19 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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