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Simplifying 4(3x + -2) + -19 = 5x + 1 Reorder the terms: 4(-2 + 3x) + -19 = 5x + 1 (-2 * 4 + 3x * 4) + -19 = 5x + 1 (-8 + 12x) + -19 = 5x + 1 Reorder the terms: -8 + -19 + 12x = 5x + 1 Combine like terms: -8 + -19 = -27 -27 + 12x = 5x + 1 Reorder the terms: -27 + 12x = 1 + 5x Solving -27 + 12x = 1 + 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. -27 + 12x + -5x = 1 + 5x + -5x Combine like terms: 12x + -5x = 7x -27 + 7x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 7x = 1 + 0 -27 + 7x = 1 Add '27' to each side of the equation. -27 + 27 + 7x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = 1 + 27 7x = 1 + 27 Combine like terms: 1 + 27 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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