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Simplifying 3x + -5(2 + 6x) = 8x + -10 3x + (2 * -5 + 6x * -5) = 8x + -10 3x + (-10 + -30x) = 8x + -10 Reorder the terms: -10 + 3x + -30x = 8x + -10 Combine like terms: 3x + -30x = -27x -10 + -27x = 8x + -10 Reorder the terms: -10 + -27x = -10 + 8x Add '10' to each side of the equation. -10 + 10 + -27x = -10 + 10 + 8x Combine like terms: -10 + 10 = 0 0 + -27x = -10 + 10 + 8x -27x = -10 + 10 + 8x Combine like terms: -10 + 10 = 0 -27x = 0 + 8x -27x = 8x Solving -27x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -27x + -8x = 8x + -8x Combine like terms: -27x + -8x = -35x -35x = 8x + -8x Combine like terms: 8x + -8x = 0 -35x = 0 Divide each side by '-35'. x = 0 Simplifying x = 0
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