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