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Simplifying 2(4x + -3) + 3(2x + -5) = -19 Reorder the terms: 2(-3 + 4x) + 3(2x + -5) = -19 (-3 * 2 + 4x * 2) + 3(2x + -5) = -19 (-6 + 8x) + 3(2x + -5) = -19 Reorder the terms: -6 + 8x + 3(-5 + 2x) = -19 -6 + 8x + (-5 * 3 + 2x * 3) = -19 -6 + 8x + (-15 + 6x) = -19 Reorder the terms: -6 + -15 + 8x + 6x = -19 Combine like terms: -6 + -15 = -21 -21 + 8x + 6x = -19 Combine like terms: 8x + 6x = 14x -21 + 14x = -19 Solving -21 + 14x = -19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 14x = -19 + 21 Combine like terms: -21 + 21 = 0 0 + 14x = -19 + 21 14x = -19 + 21 Combine like terms: -19 + 21 = 2 14x = 2 Divide each side by '14'. x = 0.1428571429 Simplifying x = 0.1428571429
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