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Simplifying x + 6(3x + -2) = 17 + -5x Reorder the terms: x + 6(-2 + 3x) = 17 + -5x x + (-2 * 6 + 3x * 6) = 17 + -5x x + (-12 + 18x) = 17 + -5x Reorder the terms: -12 + x + 18x = 17 + -5x Combine like terms: x + 18x = 19x -12 + 19x = 17 + -5x Solving -12 + 19x = 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 + 19x + 5x = 17 + -5x + 5x Combine like terms: 19x + 5x = 24x -12 + 24x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 24x = 17 + 0 -12 + 24x = 17 Add '12' to each side of the equation. -12 + 12 + 24x = 17 + 12 Combine like terms: -12 + 12 = 0 0 + 24x = 17 + 12 24x = 17 + 12 Combine like terms: 17 + 12 = 29 24x = 29 Divide each side by '24'. x = 1.208333333 Simplifying x = 1.208333333
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