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Simplifying 4(5x + -4) + 3(19 + -3x) + -2(5x + 3) = -3 Reorder the terms: 4(-4 + 5x) + 3(19 + -3x) + -2(5x + 3) = -3 (-4 * 4 + 5x * 4) + 3(19 + -3x) + -2(5x + 3) = -3 (-16 + 20x) + 3(19 + -3x) + -2(5x + 3) = -3 -16 + 20x + (19 * 3 + -3x * 3) + -2(5x + 3) = -3 -16 + 20x + (57 + -9x) + -2(5x + 3) = -3 Reorder the terms: -16 + 20x + 57 + -9x + -2(3 + 5x) = -3 -16 + 20x + 57 + -9x + (3 * -2 + 5x * -2) = -3 -16 + 20x + 57 + -9x + (-6 + -10x) = -3 Reorder the terms: -16 + 57 + -6 + 20x + -9x + -10x = -3 Combine like terms: -16 + 57 = 41 41 + -6 + 20x + -9x + -10x = -3 Combine like terms: 41 + -6 = 35 35 + 20x + -9x + -10x = -3 Combine like terms: 20x + -9x = 11x 35 + 11x + -10x = -3 Combine like terms: 11x + -10x = 1x 35 + 1x = -3 Solving 35 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 1x = -3 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = -3 + -35 1x = -3 + -35 Combine like terms: -3 + -35 = -38 1x = -38 Divide each side by '1'. x = -38 Simplifying x = -38
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