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Simplifying 11x + -2(3x + -7) = 19 + 2x Reorder the terms: 11x + -2(-7 + 3x) = 19 + 2x 11x + (-7 * -2 + 3x * -2) = 19 + 2x 11x + (14 + -6x) = 19 + 2x Reorder the terms: 14 + 11x + -6x = 19 + 2x Combine like terms: 11x + -6x = 5x 14 + 5x = 19 + 2x Solving 14 + 5x = 19 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 5x + -2x = 19 + 2x + -2x Combine like terms: 5x + -2x = 3x 14 + 3x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 3x = 19 + 0 14 + 3x = 19 Add '-14' to each side of the equation. 14 + -14 + 3x = 19 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 19 + -14 3x = 19 + -14 Combine like terms: 19 + -14 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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