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Simplifying 3(7 + 2x) + 2(1 + -1x) = 19 (7 * 3 + 2x * 3) + 2(1 + -1x) = 19 (21 + 6x) + 2(1 + -1x) = 19 21 + 6x + (1 * 2 + -1x * 2) = 19 21 + 6x + (2 + -2x) = 19 Reorder the terms: 21 + 2 + 6x + -2x = 19 Combine like terms: 21 + 2 = 23 23 + 6x + -2x = 19 Combine like terms: 6x + -2x = 4x 23 + 4x = 19 Solving 23 + 4x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 4x = 19 + -23 Combine like terms: 23 + -23 = 0 0 + 4x = 19 + -23 4x = 19 + -23 Combine like terms: 19 + -23 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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