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Simplifying 2(6x + -1) + -6x = 19 + 3x Reorder the terms: 2(-1 + 6x) + -6x = 19 + 3x (-1 * 2 + 6x * 2) + -6x = 19 + 3x (-2 + 12x) + -6x = 19 + 3x Combine like terms: 12x + -6x = 6x -2 + 6x = 19 + 3x Solving -2 + 6x = 19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 6x + -3x = 19 + 3x + -3x Combine like terms: 6x + -3x = 3x -2 + 3x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 3x = 19 + 0 -2 + 3x = 19 Add '2' to each side of the equation. -2 + 2 + 3x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 19 + 2 3x = 19 + 2 Combine like terms: 19 + 2 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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