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Simplifying 2(x + 7) + x + -7 = 3 + 5(4 + -1x) Reorder the terms: 2(7 + x) + x + -7 = 3 + 5(4 + -1x) (7 * 2 + x * 2) + x + -7 = 3 + 5(4 + -1x) (14 + 2x) + x + -7 = 3 + 5(4 + -1x) Reorder the terms: 14 + -7 + 2x + x = 3 + 5(4 + -1x) Combine like terms: 14 + -7 = 7 7 + 2x + x = 3 + 5(4 + -1x) Combine like terms: 2x + x = 3x 7 + 3x = 3 + 5(4 + -1x) 7 + 3x = 3 + (4 * 5 + -1x * 5) 7 + 3x = 3 + (20 + -5x) Combine like terms: 3 + 20 = 23 7 + 3x = 23 + -5x Solving 7 + 3x = 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. 7 + 3x + 5x = 23 + -5x + 5x Combine like terms: 3x + 5x = 8x 7 + 8x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 8x = 23 + 0 7 + 8x = 23 Add '-7' to each side of the equation. 7 + -7 + 8x = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 23 + -7 8x = 23 + -7 Combine like terms: 23 + -7 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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