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Simplifying 42x + 6(-2x + -1) = 5(x + 6) Reorder the terms: 42x + 6(-1 + -2x) = 5(x + 6) 42x + (-1 * 6 + -2x * 6) = 5(x + 6) 42x + (-6 + -12x) = 5(x + 6) Reorder the terms: -6 + 42x + -12x = 5(x + 6) Combine like terms: 42x + -12x = 30x -6 + 30x = 5(x + 6) Reorder the terms: -6 + 30x = 5(6 + x) -6 + 30x = (6 * 5 + x * 5) -6 + 30x = (30 + 5x) Solving -6 + 30x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 30x + -5x = 30 + 5x + -5x Combine like terms: 30x + -5x = 25x -6 + 25x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 25x = 30 + 0 -6 + 25x = 30 Add '6' to each side of the equation. -6 + 6 + 25x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 25x = 30 + 6 25x = 30 + 6 Combine like terms: 30 + 6 = 36 25x = 36 Divide each side by '25'. x = 1.44 Simplifying x = 1.44
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