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Simplifying 5(10x + -10) = -5 + -1(4x + 4) Reorder the terms: 5(-10 + 10x) = -5 + -1(4x + 4) (-10 * 5 + 10x * 5) = -5 + -1(4x + 4) (-50 + 50x) = -5 + -1(4x + 4) Reorder the terms: -50 + 50x = -5 + -1(4 + 4x) -50 + 50x = -5 + (4 * -1 + 4x * -1) -50 + 50x = -5 + (-4 + -4x) Combine like terms: -5 + -4 = -9 -50 + 50x = -9 + -4x Solving -50 + 50x = -9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -50 + 50x + 4x = -9 + -4x + 4x Combine like terms: 50x + 4x = 54x -50 + 54x = -9 + -4x + 4x Combine like terms: -4x + 4x = 0 -50 + 54x = -9 + 0 -50 + 54x = -9 Add '50' to each side of the equation. -50 + 50 + 54x = -9 + 50 Combine like terms: -50 + 50 = 0 0 + 54x = -9 + 50 54x = -9 + 50 Combine like terms: -9 + 50 = 41 54x = 41 Divide each side by '54'. x = 0.7592592593 Simplifying x = 0.7592592593
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