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Simplifying 2(x + 3) = 4(2x + 9) + 4x Reorder the terms: 2(3 + x) = 4(2x + 9) + 4x (3 * 2 + x * 2) = 4(2x + 9) + 4x (6 + 2x) = 4(2x + 9) + 4x Reorder the terms: 6 + 2x = 4(9 + 2x) + 4x 6 + 2x = (9 * 4 + 2x * 4) + 4x 6 + 2x = (36 + 8x) + 4x Combine like terms: 8x + 4x = 12x 6 + 2x = 36 + 12x Solving 6 + 2x = 36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 2x + -12x = 36 + 12x + -12x Combine like terms: 2x + -12x = -10x 6 + -10x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -10x = 36 + 0 6 + -10x = 36 Add '-6' to each side of the equation. 6 + -6 + -10x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 36 + -6 -10x = 36 + -6 Combine like terms: 36 + -6 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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