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Simplifying 7x + -1(2x + 3) = 23 + 3(2 + -1x) Reorder the terms: 7x + -1(3 + 2x) = 23 + 3(2 + -1x) 7x + (3 * -1 + 2x * -1) = 23 + 3(2 + -1x) 7x + (-3 + -2x) = 23 + 3(2 + -1x) Reorder the terms: -3 + 7x + -2x = 23 + 3(2 + -1x) Combine like terms: 7x + -2x = 5x -3 + 5x = 23 + 3(2 + -1x) -3 + 5x = 23 + (2 * 3 + -1x * 3) -3 + 5x = 23 + (6 + -3x) Combine like terms: 23 + 6 = 29 -3 + 5x = 29 + -3x Solving -3 + 5x = 29 + -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. -3 + 5x + 3x = 29 + -3x + 3x Combine like terms: 5x + 3x = 8x -3 + 8x = 29 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 8x = 29 + 0 -3 + 8x = 29 Add '3' to each side of the equation. -3 + 3 + 8x = 29 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 29 + 3 8x = 29 + 3 Combine like terms: 29 + 3 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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