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Simplifying 6x + 6(3x + -2) = 17 + -5x Reorder the terms: 6x + 6(-2 + 3x) = 17 + -5x 6x + (-2 * 6 + 3x * 6) = 17 + -5x 6x + (-12 + 18x) = 17 + -5x Reorder the terms: -12 + 6x + 18x = 17 + -5x Combine like terms: 6x + 18x = 24x -12 + 24x = 17 + -5x Solving -12 + 24x = 17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -12 + 24x + 5x = 17 + -5x + 5x Combine like terms: 24x + 5x = 29x -12 + 29x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 29x = 17 + 0 -12 + 29x = 17 Add '12' to each side of the equation. -12 + 12 + 29x = 17 + 12 Combine like terms: -12 + 12 = 0 0 + 29x = 17 + 12 29x = 17 + 12 Combine like terms: 17 + 12 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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