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Simplifying 12x + 40 = 2x + 8 + 4(2x + 6) Reorder the terms: 40 + 12x = 2x + 8 + 4(2x + 6) Reorder the terms: 40 + 12x = 2x + 8 + 4(6 + 2x) 40 + 12x = 2x + 8 + (6 * 4 + 2x * 4) 40 + 12x = 2x + 8 + (24 + 8x) Reorder the terms: 40 + 12x = 8 + 24 + 2x + 8x Combine like terms: 8 + 24 = 32 40 + 12x = 32 + 2x + 8x Combine like terms: 2x + 8x = 10x 40 + 12x = 32 + 10x Solving 40 + 12x = 32 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 40 + 12x + -10x = 32 + 10x + -10x Combine like terms: 12x + -10x = 2x 40 + 2x = 32 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + 2x = 32 + 0 40 + 2x = 32 Add '-40' to each side of the equation. 40 + -40 + 2x = 32 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 32 + -40 2x = 32 + -40 Combine like terms: 32 + -40 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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