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Simplifying 5(4x + -3) + -19(x + -3) = 0 Reorder the terms: 5(-3 + 4x) + -19(x + -3) = 0 (-3 * 5 + 4x * 5) + -19(x + -3) = 0 (-15 + 20x) + -19(x + -3) = 0 Reorder the terms: -15 + 20x + -19(-3 + x) = 0 -15 + 20x + (-3 * -19 + x * -19) = 0 -15 + 20x + (57 + -19x) = 0 Reorder the terms: -15 + 57 + 20x + -19x = 0 Combine like terms: -15 + 57 = 42 42 + 20x + -19x = 0 Combine like terms: 20x + -19x = 1x 42 + 1x = 0 Solving 42 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 1x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 0 + -42 1x = 0 + -42 Combine like terms: 0 + -42 = -42 1x = -42 Divide each side by '1'. x = -42 Simplifying x = -42
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