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Simplifying 5(4x + -5) + 2(18 + -2x) + -3(5x + 5) = -6 Reorder the terms: 5(-5 + 4x) + 2(18 + -2x) + -3(5x + 5) = -6 (-5 * 5 + 4x * 5) + 2(18 + -2x) + -3(5x + 5) = -6 (-25 + 20x) + 2(18 + -2x) + -3(5x + 5) = -6 -25 + 20x + (18 * 2 + -2x * 2) + -3(5x + 5) = -6 -25 + 20x + (36 + -4x) + -3(5x + 5) = -6 Reorder the terms: -25 + 20x + 36 + -4x + -3(5 + 5x) = -6 -25 + 20x + 36 + -4x + (5 * -3 + 5x * -3) = -6 -25 + 20x + 36 + -4x + (-15 + -15x) = -6 Reorder the terms: -25 + 36 + -15 + 20x + -4x + -15x = -6 Combine like terms: -25 + 36 = 11 11 + -15 + 20x + -4x + -15x = -6 Combine like terms: 11 + -15 = -4 -4 + 20x + -4x + -15x = -6 Combine like terms: 20x + -4x = 16x -4 + 16x + -15x = -6 Combine like terms: 16x + -15x = 1x -4 + 1x = -6 Solving -4 + 1x = -6 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 = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -6 + 4 1x = -6 + 4 Combine like terms: -6 + 4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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