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Simplifying -4(15x + -1) + 5(6x + -5) = 19 Reorder the terms: -4(-1 + 15x) + 5(6x + -5) = 19 (-1 * -4 + 15x * -4) + 5(6x + -5) = 19 (4 + -60x) + 5(6x + -5) = 19 Reorder the terms: 4 + -60x + 5(-5 + 6x) = 19 4 + -60x + (-5 * 5 + 6x * 5) = 19 4 + -60x + (-25 + 30x) = 19 Reorder the terms: 4 + -25 + -60x + 30x = 19 Combine like terms: 4 + -25 = -21 -21 + -60x + 30x = 19 Combine like terms: -60x + 30x = -30x -21 + -30x = 19 Solving -21 + -30x = 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 + -30x = 19 + 21 Combine like terms: -21 + 21 = 0 0 + -30x = 19 + 21 -30x = 19 + 21 Combine like terms: 19 + 21 = 40 -30x = 40 Divide each side by '-30'. x = -1.333333333 Simplifying x = -1.333333333
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