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Simplifying -3(-4x + 1) = -5x + 19 Reorder the terms: -3(1 + -4x) = -5x + 19 (1 * -3 + -4x * -3) = -5x + 19 (-3 + 12x) = -5x + 19 Reorder the terms: -3 + 12x = 19 + -5x Solving -3 + 12x = 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 + 12x + 5x = 19 + -5x + 5x Combine like terms: 12x + 5x = 17x -3 + 17x = 19 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 17x = 19 + 0 -3 + 17x = 19 Add '3' to each side of the equation. -3 + 3 + 17x = 19 + 3 Combine like terms: -3 + 3 = 0 0 + 17x = 19 + 3 17x = 19 + 3 Combine like terms: 19 + 3 = 22 17x = 22 Divide each side by '17'. x = 1.294117647 Simplifying x = 1.294117647
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