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Simplifying 3(1 + -3x) = 6 + -4(x + -3) (1 * 3 + -3x * 3) = 6 + -4(x + -3) (3 + -9x) = 6 + -4(x + -3) Reorder the terms: 3 + -9x = 6 + -4(-3 + x) 3 + -9x = 6 + (-3 * -4 + x * -4) 3 + -9x = 6 + (12 + -4x) Combine like terms: 6 + 12 = 18 3 + -9x = 18 + -4x Solving 3 + -9x = 18 + -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. 3 + -9x + 4x = 18 + -4x + 4x Combine like terms: -9x + 4x = -5x 3 + -5x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + -5x = 18 + 0 3 + -5x = 18 Add '-3' to each side of the equation. 3 + -3 + -5x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 18 + -3 -5x = 18 + -3 Combine like terms: 18 + -3 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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