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Simplifying 22x + -6 + 19x = 4(11x + 1) + 2 Reorder the terms: -6 + 22x + 19x = 4(11x + 1) + 2 Combine like terms: 22x + 19x = 41x -6 + 41x = 4(11x + 1) + 2 Reorder the terms: -6 + 41x = 4(1 + 11x) + 2 -6 + 41x = (1 * 4 + 11x * 4) + 2 -6 + 41x = (4 + 44x) + 2 Reorder the terms: -6 + 41x = 4 + 2 + 44x Combine like terms: 4 + 2 = 6 -6 + 41x = 6 + 44x Solving -6 + 41x = 6 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. -6 + 41x + -44x = 6 + 44x + -44x Combine like terms: 41x + -44x = -3x -6 + -3x = 6 + 44x + -44x Combine like terms: 44x + -44x = 0 -6 + -3x = 6 + 0 -6 + -3x = 6 Add '6' to each side of the equation. -6 + 6 + -3x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 6 + 6 -3x = 6 + 6 Combine like terms: 6 + 6 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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