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Simplifying 5(2x + 3) + -17 = -3(x + 8) Reorder the terms: 5(3 + 2x) + -17 = -3(x + 8) (3 * 5 + 2x * 5) + -17 = -3(x + 8) (15 + 10x) + -17 = -3(x + 8) Reorder the terms: 15 + -17 + 10x = -3(x + 8) Combine like terms: 15 + -17 = -2 -2 + 10x = -3(x + 8) Reorder the terms: -2 + 10x = -3(8 + x) -2 + 10x = (8 * -3 + x * -3) -2 + 10x = (-24 + -3x) Solving -2 + 10x = -24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 10x + 3x = -24 + -3x + 3x Combine like terms: 10x + 3x = 13x -2 + 13x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 13x = -24 + 0 -2 + 13x = -24 Add '2' to each side of the equation. -2 + 2 + 13x = -24 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = -24 + 2 13x = -24 + 2 Combine like terms: -24 + 2 = -22 13x = -22 Divide each side by '13'. x = -1.692307692 Simplifying x = -1.692307692
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