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Simplifying 4(1 + -3x) = 9 + -7x (1 * 4 + -3x * 4) = 9 + -7x (4 + -12x) = 9 + -7x Solving 4 + -12x = 9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + -12x + 7x = 9 + -7x + 7x Combine like terms: -12x + 7x = -5x 4 + -5x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + -5x = 9 + 0 4 + -5x = 9 Add '-4' to each side of the equation. 4 + -4 + -5x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 9 + -4 -5x = 9 + -4 Combine like terms: 9 + -4 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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