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Simplifying 3(3x + 1) = -4(4x + -1) Reorder the terms: 3(1 + 3x) = -4(4x + -1) (1 * 3 + 3x * 3) = -4(4x + -1) (3 + 9x) = -4(4x + -1) Reorder the terms: 3 + 9x = -4(-1 + 4x) 3 + 9x = (-1 * -4 + 4x * -4) 3 + 9x = (4 + -16x) Solving 3 + 9x = 4 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 3 + 9x + 16x = 4 + -16x + 16x Combine like terms: 9x + 16x = 25x 3 + 25x = 4 + -16x + 16x Combine like terms: -16x + 16x = 0 3 + 25x = 4 + 0 3 + 25x = 4 Add '-3' to each side of the equation. 3 + -3 + 25x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 25x = 4 + -3 25x = 4 + -3 Combine like terms: 4 + -3 = 1 25x = 1 Divide each side by '25'. x = 0.04 Simplifying x = 0.04
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