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Simplifying 2(3x + 1) + -4(x + 2) = 4x + -12 Reorder the terms: 2(1 + 3x) + -4(x + 2) = 4x + -12 (1 * 2 + 3x * 2) + -4(x + 2) = 4x + -12 (2 + 6x) + -4(x + 2) = 4x + -12 Reorder the terms: 2 + 6x + -4(2 + x) = 4x + -12 2 + 6x + (2 * -4 + x * -4) = 4x + -12 2 + 6x + (-8 + -4x) = 4x + -12 Reorder the terms: 2 + -8 + 6x + -4x = 4x + -12 Combine like terms: 2 + -8 = -6 -6 + 6x + -4x = 4x + -12 Combine like terms: 6x + -4x = 2x -6 + 2x = 4x + -12 Reorder the terms: -6 + 2x = -12 + 4x Solving -6 + 2x = -12 + 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. -6 + 2x + -4x = -12 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -2x = -12 + 0 -6 + -2x = -12 Add '6' to each side of the equation. -6 + 6 + -2x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -12 + 6 -2x = -12 + 6 Combine like terms: -12 + 6 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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