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Simplifying 3x + -1(5 + 3x) = 7x + 2 3x + (5 * -1 + 3x * -1) = 7x + 2 3x + (-5 + -3x) = 7x + 2 Reorder the terms: -5 + 3x + -3x = 7x + 2 Combine like terms: 3x + -3x = 0 -5 + 0 = 7x + 2 -5 = 7x + 2 Reorder the terms: -5 = 2 + 7x Solving -5 = 2 + 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. -5 + -7x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -7x = 2 + 0 -5 + -7x = 2 Add '5' to each side of the equation. -5 + 5 + -7x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 2 + 5 -7x = 2 + 5 Combine like terms: 2 + 5 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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