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Simplifying 4(2x + 1) + -3(1 + -4x) = -19 Reorder the terms: 4(1 + 2x) + -3(1 + -4x) = -19 (1 * 4 + 2x * 4) + -3(1 + -4x) = -19 (4 + 8x) + -3(1 + -4x) = -19 4 + 8x + (1 * -3 + -4x * -3) = -19 4 + 8x + (-3 + 12x) = -19 Reorder the terms: 4 + -3 + 8x + 12x = -19 Combine like terms: 4 + -3 = 1 1 + 8x + 12x = -19 Combine like terms: 8x + 12x = 20x 1 + 20x = -19 Solving 1 + 20x = -19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 20x = -19 + -1 Combine like terms: 1 + -1 = 0 0 + 20x = -19 + -1 20x = -19 + -1 Combine like terms: -19 + -1 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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