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Simplifying 4(1 + 3x) + -2(2x + -3) = 2 (1 * 4 + 3x * 4) + -2(2x + -3) = 2 (4 + 12x) + -2(2x + -3) = 2 Reorder the terms: 4 + 12x + -2(-3 + 2x) = 2 4 + 12x + (-3 * -2 + 2x * -2) = 2 4 + 12x + (6 + -4x) = 2 Reorder the terms: 4 + 6 + 12x + -4x = 2 Combine like terms: 4 + 6 = 10 10 + 12x + -4x = 2 Combine like terms: 12x + -4x = 8x 10 + 8x = 2 Solving 10 + 8x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 8x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 2 + -10 8x = 2 + -10 Combine like terms: 2 + -10 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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