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Simplifying 6(3x + -6) = 17x + 19 Reorder the terms: 6(-6 + 3x) = 17x + 19 (-6 * 6 + 3x * 6) = 17x + 19 (-36 + 18x) = 17x + 19 Reorder the terms: -36 + 18x = 19 + 17x Solving -36 + 18x = 19 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -36 + 18x + -17x = 19 + 17x + -17x Combine like terms: 18x + -17x = 1x -36 + 1x = 19 + 17x + -17x Combine like terms: 17x + -17x = 0 -36 + 1x = 19 + 0 -36 + 1x = 19 Add '36' to each side of the equation. -36 + 36 + 1x = 19 + 36 Combine like terms: -36 + 36 = 0 0 + 1x = 19 + 36 1x = 19 + 36 Combine like terms: 19 + 36 = 55 1x = 55 Divide each side by '1'. x = 55 Simplifying x = 55
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