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Simplifying -3 + -2(1 + -4x) = 30 + 3x -3 + (1 * -2 + -4x * -2) = 30 + 3x -3 + (-2 + 8x) = 30 + 3x Combine like terms: -3 + -2 = -5 -5 + 8x = 30 + 3x Solving -5 + 8x = 30 + 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. -5 + 8x + -3x = 30 + 3x + -3x Combine like terms: 8x + -3x = 5x -5 + 5x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 5x = 30 + 0 -5 + 5x = 30 Add '5' to each side of the equation. -5 + 5 + 5x = 30 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 30 + 5 5x = 30 + 5 Combine like terms: 30 + 5 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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