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Simplifying 2(7 + -1x) = 2(19 + -3x) (7 * 2 + -1x * 2) = 2(19 + -3x) (14 + -2x) = 2(19 + -3x) 14 + -2x = (19 * 2 + -3x * 2) 14 + -2x = (38 + -6x) Solving 14 + -2x = 38 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 14 + -2x + 6x = 38 + -6x + 6x Combine like terms: -2x + 6x = 4x 14 + 4x = 38 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + 4x = 38 + 0 14 + 4x = 38 Add '-14' to each side of the equation. 14 + -14 + 4x = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 38 + -14 4x = 38 + -14 Combine like terms: 38 + -14 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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