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Simplifying 4(2x + 3) = 2(1 + -3x) Reorder the terms: 4(3 + 2x) = 2(1 + -3x) (3 * 4 + 2x * 4) = 2(1 + -3x) (12 + 8x) = 2(1 + -3x) 12 + 8x = (1 * 2 + -3x * 2) 12 + 8x = (2 + -6x) Solving 12 + 8x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + 8x + 6x = 2 + -6x + 6x Combine like terms: 8x + 6x = 14x 12 + 14x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 14x = 2 + 0 12 + 14x = 2 Add '-12' to each side of the equation. 12 + -12 + 14x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 2 + -12 14x = 2 + -12 Combine like terms: 2 + -12 = -10 14x = -10 Divide each side by '14'. x = -0.7142857143 Simplifying x = -0.7142857143
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