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Simplifying 4 + -10(1 + -3x) = 27x + 3 4 + (1 * -10 + -3x * -10) = 27x + 3 4 + (-10 + 30x) = 27x + 3 Combine like terms: 4 + -10 = -6 -6 + 30x = 27x + 3 Reorder the terms: -6 + 30x = 3 + 27x Solving -6 + 30x = 3 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -6 + 30x + -27x = 3 + 27x + -27x Combine like terms: 30x + -27x = 3x -6 + 3x = 3 + 27x + -27x Combine like terms: 27x + -27x = 0 -6 + 3x = 3 + 0 -6 + 3x = 3 Add '6' to each side of the equation. -6 + 6 + 3x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 3 + 6 3x = 3 + 6 Combine like terms: 3 + 6 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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