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Simplifying -5(4x + 5) + -2 = -5(x + 4) + 3x Reorder the terms: -5(5 + 4x) + -2 = -5(x + 4) + 3x (5 * -5 + 4x * -5) + -2 = -5(x + 4) + 3x (-25 + -20x) + -2 = -5(x + 4) + 3x Reorder the terms: -25 + -2 + -20x = -5(x + 4) + 3x Combine like terms: -25 + -2 = -27 -27 + -20x = -5(x + 4) + 3x Reorder the terms: -27 + -20x = -5(4 + x) + 3x -27 + -20x = (4 * -5 + x * -5) + 3x -27 + -20x = (-20 + -5x) + 3x Combine like terms: -5x + 3x = -2x -27 + -20x = -20 + -2x Solving -27 + -20x = -20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -27 + -20x + 2x = -20 + -2x + 2x Combine like terms: -20x + 2x = -18x -27 + -18x = -20 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + -18x = -20 + 0 -27 + -18x = -20 Add '27' to each side of the equation. -27 + 27 + -18x = -20 + 27 Combine like terms: -27 + 27 = 0 0 + -18x = -20 + 27 -18x = -20 + 27 Combine like terms: -20 + 27 = 7 -18x = 7 Divide each side by '-18'. x = -0.3888888889 Simplifying x = -0.3888888889
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