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Simplifying 7x + -1(4x + 2) = 4x + -23 Reorder the terms: 7x + -1(2 + 4x) = 4x + -23 7x + (2 * -1 + 4x * -1) = 4x + -23 7x + (-2 + -4x) = 4x + -23 Reorder the terms: -2 + 7x + -4x = 4x + -23 Combine like terms: 7x + -4x = 3x -2 + 3x = 4x + -23 Reorder the terms: -2 + 3x = -23 + 4x Solving -2 + 3x = -23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 3x + -4x = -23 + 4x + -4x Combine like terms: 3x + -4x = -1x -2 + -1x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -1x = -23 + 0 -2 + -1x = -23 Add '2' to each side of the equation. -2 + 2 + -1x = -23 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -23 + 2 -1x = -23 + 2 Combine like terms: -23 + 2 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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