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Simplifying 3(1 + -2x) = 3(3x + 4) (1 * 3 + -2x * 3) = 3(3x + 4) (3 + -6x) = 3(3x + 4) Reorder the terms: 3 + -6x = 3(4 + 3x) 3 + -6x = (4 * 3 + 3x * 3) 3 + -6x = (12 + 9x) Solving 3 + -6x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 3 + -6x + -9x = 12 + 9x + -9x Combine like terms: -6x + -9x = -15x 3 + -15x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -15x = 12 + 0 3 + -15x = 12 Add '-3' to each side of the equation. 3 + -3 + -15x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -15x = 12 + -3 -15x = 12 + -3 Combine like terms: 12 + -3 = 9 -15x = 9 Divide each side by '-15'. x = -0.6 Simplifying x = -0.6
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