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Simplifying 3[4(5x + -1) + -4] = 2 + -3x Reorder the terms: 3[4(-1 + 5x) + -4] = 2 + -3x 3[(-1 * 4 + 5x * 4) + -4] = 2 + -3x 3[(-4 + 20x) + -4] = 2 + -3x Reorder the terms: 3[-4 + -4 + 20x] = 2 + -3x Combine like terms: -4 + -4 = -8 3[-8 + 20x] = 2 + -3x [-8 * 3 + 20x * 3] = 2 + -3x [-24 + 60x] = 2 + -3x Solving -24 + 60x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + 60x + 3x = 2 + -3x + 3x Combine like terms: 60x + 3x = 63x -24 + 63x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 63x = 2 + 0 -24 + 63x = 2 Add '24' to each side of the equation. -24 + 24 + 63x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 63x = 2 + 24 63x = 2 + 24 Combine like terms: 2 + 24 = 26 63x = 26 Divide each side by '63'. x = 0.4126984127 Simplifying x = 0.4126984127
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