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Simplifying 2(x + 11) = 4(3x + 1) + 12 Reorder the terms: 2(11 + x) = 4(3x + 1) + 12 (11 * 2 + x * 2) = 4(3x + 1) + 12 (22 + 2x) = 4(3x + 1) + 12 Reorder the terms: 22 + 2x = 4(1 + 3x) + 12 22 + 2x = (1 * 4 + 3x * 4) + 12 22 + 2x = (4 + 12x) + 12 Reorder the terms: 22 + 2x = 4 + 12 + 12x Combine like terms: 4 + 12 = 16 22 + 2x = 16 + 12x Solving 22 + 2x = 16 + 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. 22 + 2x + -12x = 16 + 12x + -12x Combine like terms: 2x + -12x = -10x 22 + -10x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 22 + -10x = 16 + 0 22 + -10x = 16 Add '-22' to each side of the equation. 22 + -22 + -10x = 16 + -22 Combine like terms: 22 + -22 = 0 0 + -10x = 16 + -22 -10x = 16 + -22 Combine like terms: 16 + -22 = -6 -10x = -6 Divide each side by '-10'. x = 0.6 Simplifying x = 0.6
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