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Simplifying 4(3x + 2) = x + 3(x + 1) Reorder the terms: 4(2 + 3x) = x + 3(x + 1) (2 * 4 + 3x * 4) = x + 3(x + 1) (8 + 12x) = x + 3(x + 1) Reorder the terms: 8 + 12x = x + 3(1 + x) 8 + 12x = x + (1 * 3 + x * 3) 8 + 12x = x + (3 + 3x) Reorder the terms: 8 + 12x = 3 + x + 3x Combine like terms: x + 3x = 4x 8 + 12x = 3 + 4x Solving 8 + 12x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 12x + -4x = 3 + 4x + -4x Combine like terms: 12x + -4x = 8x 8 + 8x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 8x = 3 + 0 8 + 8x = 3 Add '-8' to each side of the equation. 8 + -8 + 8x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 3 + -8 8x = 3 + -8 Combine like terms: 3 + -8 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625
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