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Simplifying 7x + -1(5x + 4) = 3x + -23 Reorder the terms: 7x + -1(4 + 5x) = 3x + -23 7x + (4 * -1 + 5x * -1) = 3x + -23 7x + (-4 + -5x) = 3x + -23 Reorder the terms: -4 + 7x + -5x = 3x + -23 Combine like terms: 7x + -5x = 2x -4 + 2x = 3x + -23 Reorder the terms: -4 + 2x = -23 + 3x Solving -4 + 2x = -23 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 2x + -3x = -23 + 3x + -3x Combine like terms: 2x + -3x = -1x -4 + -1x = -23 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -1x = -23 + 0 -4 + -1x = -23 Add '4' to each side of the equation. -4 + 4 + -1x = -23 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -23 + 4 -1x = -23 + 4 Combine like terms: -23 + 4 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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