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Simplifying 5(2x + 3) + -4(x + 8) = 5 Reorder the terms: 5(3 + 2x) + -4(x + 8) = 5 (3 * 5 + 2x * 5) + -4(x + 8) = 5 (15 + 10x) + -4(x + 8) = 5 Reorder the terms: 15 + 10x + -4(8 + x) = 5 15 + 10x + (8 * -4 + x * -4) = 5 15 + 10x + (-32 + -4x) = 5 Reorder the terms: 15 + -32 + 10x + -4x = 5 Combine like terms: 15 + -32 = -17 -17 + 10x + -4x = 5 Combine like terms: 10x + -4x = 6x -17 + 6x = 5 Solving -17 + 6x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 6x = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 5 + 17 6x = 5 + 17 Combine like terms: 5 + 17 = 22 6x = 22 Divide each side by '6'. x = 3.666666667 Simplifying x = 3.666666667
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