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Simplifying 2(x + 4) + 1 = 5x + -2x + 7 + -1 Reorder the terms: 2(4 + x) + 1 = 5x + -2x + 7 + -1 (4 * 2 + x * 2) + 1 = 5x + -2x + 7 + -1 (8 + 2x) + 1 = 5x + -2x + 7 + -1 Reorder the terms: 8 + 1 + 2x = 5x + -2x + 7 + -1 Combine like terms: 8 + 1 = 9 9 + 2x = 5x + -2x + 7 + -1 Reorder the terms: 9 + 2x = 7 + -1 + 5x + -2x Combine like terms: 7 + -1 = 6 9 + 2x = 6 + 5x + -2x Combine like terms: 5x + -2x = 3x 9 + 2x = 6 + 3x Solving 9 + 2x = 6 + 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. 9 + 2x + -3x = 6 + 3x + -3x Combine like terms: 2x + -3x = -1x 9 + -1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -1x = 6 + 0 9 + -1x = 6 Add '-9' to each side of the equation. 9 + -9 + -1x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 6 + -9 -1x = 6 + -9 Combine like terms: 6 + -9 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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