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Simplifying 4 + 2x + -1(-2x + 1) = 19 Reorder the terms: 4 + 2x + -1(1 + -2x) = 19 4 + 2x + (1 * -1 + -2x * -1) = 19 4 + 2x + (-1 + 2x) = 19 Reorder the terms: 4 + -1 + 2x + 2x = 19 Combine like terms: 4 + -1 = 3 3 + 2x + 2x = 19 Combine like terms: 2x + 2x = 4x 3 + 4x = 19 Solving 3 + 4x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 19 + -3 4x = 19 + -3 Combine like terms: 19 + -3 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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