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Simplifying 5(2x + 50) = 4x + -7(x + -1) Reorder the terms: 5(50 + 2x) = 4x + -7(x + -1) (50 * 5 + 2x * 5) = 4x + -7(x + -1) (250 + 10x) = 4x + -7(x + -1) Reorder the terms: 250 + 10x = 4x + -7(-1 + x) 250 + 10x = 4x + (-1 * -7 + x * -7) 250 + 10x = 4x + (7 + -7x) Reorder the terms: 250 + 10x = 7 + 4x + -7x Combine like terms: 4x + -7x = -3x 250 + 10x = 7 + -3x Solving 250 + 10x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 250 + 10x + 3x = 7 + -3x + 3x Combine like terms: 10x + 3x = 13x 250 + 13x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 250 + 13x = 7 + 0 250 + 13x = 7 Add '-250' to each side of the equation. 250 + -250 + 13x = 7 + -250 Combine like terms: 250 + -250 = 0 0 + 13x = 7 + -250 13x = 7 + -250 Combine like terms: 7 + -250 = -243 13x = -243 Divide each side by '13'. x = -18.69230769 Simplifying x = -18.69230769
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