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Simplifying 5(7x + -10) = x + 3(2x + 2) Reorder the terms: 5(-10 + 7x) = x + 3(2x + 2) (-10 * 5 + 7x * 5) = x + 3(2x + 2) (-50 + 35x) = x + 3(2x + 2) Reorder the terms: -50 + 35x = x + 3(2 + 2x) -50 + 35x = x + (2 * 3 + 2x * 3) -50 + 35x = x + (6 + 6x) Reorder the terms: -50 + 35x = 6 + x + 6x Combine like terms: x + 6x = 7x -50 + 35x = 6 + 7x Solving -50 + 35x = 6 + 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 + 35x + -7x = 6 + 7x + -7x Combine like terms: 35x + -7x = 28x -50 + 28x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -50 + 28x = 6 + 0 -50 + 28x = 6 Add '50' to each side of the equation. -50 + 50 + 28x = 6 + 50 Combine like terms: -50 + 50 = 0 0 + 28x = 6 + 50 28x = 6 + 50 Combine like terms: 6 + 50 = 56 28x = 56 Divide each side by '28'. x = 2 Simplifying x = 2
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