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Simplifying 2x + 7(x + 1) + 5 = 18 + 3x + 6 Reorder the terms: 2x + 7(1 + x) + 5 = 18 + 3x + 6 2x + (1 * 7 + x * 7) + 5 = 18 + 3x + 6 2x + (7 + 7x) + 5 = 18 + 3x + 6 Reorder the terms: 7 + 5 + 2x + 7x = 18 + 3x + 6 Combine like terms: 7 + 5 = 12 12 + 2x + 7x = 18 + 3x + 6 Combine like terms: 2x + 7x = 9x 12 + 9x = 18 + 3x + 6 Reorder the terms: 12 + 9x = 18 + 6 + 3x Combine like terms: 18 + 6 = 24 12 + 9x = 24 + 3x Solving 12 + 9x = 24 + 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. 12 + 9x + -3x = 24 + 3x + -3x Combine like terms: 9x + -3x = 6x 12 + 6x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 6x = 24 + 0 12 + 6x = 24 Add '-12' to each side of the equation. 12 + -12 + 6x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 24 + -12 6x = 24 + -12 Combine like terms: 24 + -12 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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