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Simplifying 7x + -1(3x + 10) = -1x + 15 Reorder the terms: 7x + -1(10 + 3x) = -1x + 15 7x + (10 * -1 + 3x * -1) = -1x + 15 7x + (-10 + -3x) = -1x + 15 Reorder the terms: -10 + 7x + -3x = -1x + 15 Combine like terms: 7x + -3x = 4x -10 + 4x = -1x + 15 Reorder the terms: -10 + 4x = 15 + -1x Solving -10 + 4x = 15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 4x + x = 15 + -1x + x Combine like terms: 4x + x = 5x -10 + 5x = 15 + -1x + x Combine like terms: -1x + x = 0 -10 + 5x = 15 + 0 -10 + 5x = 15 Add '10' to each side of the equation. -10 + 10 + 5x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 15 + 10 5x = 15 + 10 Combine like terms: 15 + 10 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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