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Simplifying 2x + 5(3x + -2) = 8x + 5 Reorder the terms: 2x + 5(-2 + 3x) = 8x + 5 2x + (-2 * 5 + 3x * 5) = 8x + 5 2x + (-10 + 15x) = 8x + 5 Reorder the terms: -10 + 2x + 15x = 8x + 5 Combine like terms: 2x + 15x = 17x -10 + 17x = 8x + 5 Reorder the terms: -10 + 17x = 5 + 8x Solving -10 + 17x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 17x + -8x = 5 + 8x + -8x Combine like terms: 17x + -8x = 9x -10 + 9x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + 9x = 5 + 0 -10 + 9x = 5 Add '10' to each side of the equation. -10 + 10 + 9x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 5 + 10 9x = 5 + 10 Combine like terms: 5 + 10 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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