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Simplifying 5(2x + 4) + -2x = 6 + 2(3x + 12) Reorder the terms: 5(4 + 2x) + -2x = 6 + 2(3x + 12) (4 * 5 + 2x * 5) + -2x = 6 + 2(3x + 12) (20 + 10x) + -2x = 6 + 2(3x + 12) Combine like terms: 10x + -2x = 8x 20 + 8x = 6 + 2(3x + 12) Reorder the terms: 20 + 8x = 6 + 2(12 + 3x) 20 + 8x = 6 + (12 * 2 + 3x * 2) 20 + 8x = 6 + (24 + 6x) Combine like terms: 6 + 24 = 30 20 + 8x = 30 + 6x Solving 20 + 8x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 8x + -6x = 30 + 6x + -6x Combine like terms: 8x + -6x = 2x 20 + 2x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 2x = 30 + 0 20 + 2x = 30 Add '-20' to each side of the equation. 20 + -20 + 2x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 30 + -20 2x = 30 + -20 Combine like terms: 30 + -20 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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