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Simplifying 4x + 1 + -1(-2x + 4) = -5x + 19 Reorder the terms: 4x + 1 + -1(4 + -2x) = -5x + 19 4x + 1 + (4 * -1 + -2x * -1) = -5x + 19 4x + 1 + (-4 + 2x) = -5x + 19 Reorder the terms: 1 + -4 + 4x + 2x = -5x + 19 Combine like terms: 1 + -4 = -3 -3 + 4x + 2x = -5x + 19 Combine like terms: 4x + 2x = 6x -3 + 6x = -5x + 19 Reorder the terms: -3 + 6x = 19 + -5x Solving -3 + 6x = 19 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3 + 6x + 5x = 19 + -5x + 5x Combine like terms: 6x + 5x = 11x -3 + 11x = 19 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 11x = 19 + 0 -3 + 11x = 19 Add '3' to each side of the equation. -3 + 3 + 11x = 19 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = 19 + 3 11x = 19 + 3 Combine like terms: 19 + 3 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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