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Simplifying 3x + -1(x + 5) = 7x + 5 + 1 Reorder the terms: 3x + -1(5 + x) = 7x + 5 + 1 3x + (5 * -1 + x * -1) = 7x + 5 + 1 3x + (-5 + -1x) = 7x + 5 + 1 Reorder the terms: -5 + 3x + -1x = 7x + 5 + 1 Combine like terms: 3x + -1x = 2x -5 + 2x = 7x + 5 + 1 Reorder the terms: -5 + 2x = 5 + 1 + 7x Combine like terms: 5 + 1 = 6 -5 + 2x = 6 + 7x Solving -5 + 2x = 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. -5 + 2x + -7x = 6 + 7x + -7x Combine like terms: 2x + -7x = -5x -5 + -5x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -5x = 6 + 0 -5 + -5x = 6 Add '5' to each side of the equation. -5 + 5 + -5x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 6 + 5 -5x = 6 + 5 Combine like terms: 6 + 5 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2
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