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Simplifying 5(x + 2) + 4(x + 2) = 3(x + 8) + 12 Reorder the terms: 5(2 + x) + 4(x + 2) = 3(x + 8) + 12 (2 * 5 + x * 5) + 4(x + 2) = 3(x + 8) + 12 (10 + 5x) + 4(x + 2) = 3(x + 8) + 12 Reorder the terms: 10 + 5x + 4(2 + x) = 3(x + 8) + 12 10 + 5x + (2 * 4 + x * 4) = 3(x + 8) + 12 10 + 5x + (8 + 4x) = 3(x + 8) + 12 Reorder the terms: 10 + 8 + 5x + 4x = 3(x + 8) + 12 Combine like terms: 10 + 8 = 18 18 + 5x + 4x = 3(x + 8) + 12 Combine like terms: 5x + 4x = 9x 18 + 9x = 3(x + 8) + 12 Reorder the terms: 18 + 9x = 3(8 + x) + 12 18 + 9x = (8 * 3 + x * 3) + 12 18 + 9x = (24 + 3x) + 12 Reorder the terms: 18 + 9x = 24 + 12 + 3x Combine like terms: 24 + 12 = 36 18 + 9x = 36 + 3x Solving 18 + 9x = 36 + 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. 18 + 9x + -3x = 36 + 3x + -3x Combine like terms: 9x + -3x = 6x 18 + 6x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 6x = 36 + 0 18 + 6x = 36 Add '-18' to each side of the equation. 18 + -18 + 6x = 36 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 36 + -18 6x = 36 + -18 Combine like terms: 36 + -18 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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