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Simplifying 7x + -1(3x + 5) = 5x + -23 Reorder the terms: 7x + -1(5 + 3x) = 5x + -23 7x + (5 * -1 + 3x * -1) = 5x + -23 7x + (-5 + -3x) = 5x + -23 Reorder the terms: -5 + 7x + -3x = 5x + -23 Combine like terms: 7x + -3x = 4x -5 + 4x = 5x + -23 Reorder the terms: -5 + 4x = -23 + 5x Solving -5 + 4x = -23 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 4x + -5x = -23 + 5x + -5x Combine like terms: 4x + -5x = -1x -5 + -1x = -23 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -1x = -23 + 0 -5 + -1x = -23 Add '5' to each side of the equation. -5 + 5 + -1x = -23 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -23 + 5 -1x = -23 + 5 Combine like terms: -23 + 5 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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