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Simplifying 5(x + 10) = 7(4 + -1x) Reorder the terms: 5(10 + x) = 7(4 + -1x) (10 * 5 + x * 5) = 7(4 + -1x) (50 + 5x) = 7(4 + -1x) 50 + 5x = (4 * 7 + -1x * 7) 50 + 5x = (28 + -7x) Solving 50 + 5x = 28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 50 + 5x + 7x = 28 + -7x + 7x Combine like terms: 5x + 7x = 12x 50 + 12x = 28 + -7x + 7x Combine like terms: -7x + 7x = 0 50 + 12x = 28 + 0 50 + 12x = 28 Add '-50' to each side of the equation. 50 + -50 + 12x = 28 + -50 Combine like terms: 50 + -50 = 0 0 + 12x = 28 + -50 12x = 28 + -50 Combine like terms: 28 + -50 = -22 12x = -22 Divide each side by '12'. x = -1.833333333 Simplifying x = -1.833333333
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