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Simplifying 5(6x + -3) + 5(5 + -4x) + -3(3x + 2) = -5 Reorder the terms: 5(-3 + 6x) + 5(5 + -4x) + -3(3x + 2) = -5 (-3 * 5 + 6x * 5) + 5(5 + -4x) + -3(3x + 2) = -5 (-15 + 30x) + 5(5 + -4x) + -3(3x + 2) = -5 -15 + 30x + (5 * 5 + -4x * 5) + -3(3x + 2) = -5 -15 + 30x + (25 + -20x) + -3(3x + 2) = -5 Reorder the terms: -15 + 30x + 25 + -20x + -3(2 + 3x) = -5 -15 + 30x + 25 + -20x + (2 * -3 + 3x * -3) = -5 -15 + 30x + 25 + -20x + (-6 + -9x) = -5 Reorder the terms: -15 + 25 + -6 + 30x + -20x + -9x = -5 Combine like terms: -15 + 25 = 10 10 + -6 + 30x + -20x + -9x = -5 Combine like terms: 10 + -6 = 4 4 + 30x + -20x + -9x = -5 Combine like terms: 30x + -20x = 10x 4 + 10x + -9x = -5 Combine like terms: 10x + -9x = 1x 4 + 1x = -5 Solving 4 + 1x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -5 + -4 1x = -5 + -4 Combine like terms: -5 + -4 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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