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Simplifying -3(4 + -1(3x + 3)) = 4 + -3(3x + 5) Reorder the terms: -3(4 + -1(3 + 3x)) = 4 + -3(3x + 5) -3(4 + (3 * -1 + 3x * -1)) = 4 + -3(3x + 5) -3(4 + (-3 + -3x)) = 4 + -3(3x + 5) Combine like terms: 4 + -3 = 1 -3(1 + -3x) = 4 + -3(3x + 5) (1 * -3 + -3x * -3) = 4 + -3(3x + 5) (-3 + 9x) = 4 + -3(3x + 5) Reorder the terms: -3 + 9x = 4 + -3(5 + 3x) -3 + 9x = 4 + (5 * -3 + 3x * -3) -3 + 9x = 4 + (-15 + -9x) Combine like terms: 4 + -15 = -11 -3 + 9x = -11 + -9x Solving -3 + 9x = -11 + -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 + 9x + 9x = -11 + -9x + 9x Combine like terms: 9x + 9x = 18x -3 + 18x = -11 + -9x + 9x Combine like terms: -9x + 9x = 0 -3 + 18x = -11 + 0 -3 + 18x = -11 Add '3' to each side of the equation. -3 + 3 + 18x = -11 + 3 Combine like terms: -3 + 3 = 0 0 + 18x = -11 + 3 18x = -11 + 3 Combine like terms: -11 + 3 = -8 18x = -8 Divide each side by '18'. x = -0.4444444444 Simplifying x = -0.4444444444
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