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Simplifying 12x + 4 = 4x + 3(x + -2) Reorder the terms: 4 + 12x = 4x + 3(x + -2) Reorder the terms: 4 + 12x = 4x + 3(-2 + x) 4 + 12x = 4x + (-2 * 3 + x * 3) 4 + 12x = 4x + (-6 + 3x) Reorder the terms: 4 + 12x = -6 + 4x + 3x Combine like terms: 4x + 3x = 7x 4 + 12x = -6 + 7x Solving 4 + 12x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 12x + -7x = -6 + 7x + -7x Combine like terms: 12x + -7x = 5x 4 + 5x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 5x = -6 + 0 4 + 5x = -6 Add '-4' to each side of the equation. 4 + -4 + 5x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = -6 + -4 5x = -6 + -4 Combine like terms: -6 + -4 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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