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Simplifying 5(3x + -2) = 6x + 17 Reorder the terms: 5(-2 + 3x) = 6x + 17 (-2 * 5 + 3x * 5) = 6x + 17 (-10 + 15x) = 6x + 17 Reorder the terms: -10 + 15x = 17 + 6x Solving -10 + 15x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 15x + -6x = 17 + 6x + -6x Combine like terms: 15x + -6x = 9x -10 + 9x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 9x = 17 + 0 -10 + 9x = 17 Add '10' to each side of the equation. -10 + 10 + 9x = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 17 + 10 9x = 17 + 10 Combine like terms: 17 + 10 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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