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Simplifying 3x + -1(5x + 6) = 3x + -46 Reorder the terms: 3x + -1(6 + 5x) = 3x + -46 3x + (6 * -1 + 5x * -1) = 3x + -46 3x + (-6 + -5x) = 3x + -46 Reorder the terms: -6 + 3x + -5x = 3x + -46 Combine like terms: 3x + -5x = -2x -6 + -2x = 3x + -46 Reorder the terms: -6 + -2x = -46 + 3x Solving -6 + -2x = -46 + 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. -6 + -2x + -3x = -46 + 3x + -3x Combine like terms: -2x + -3x = -5x -6 + -5x = -46 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -5x = -46 + 0 -6 + -5x = -46 Add '6' to each side of the equation. -6 + 6 + -5x = -46 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = -46 + 6 -5x = -46 + 6 Combine like terms: -46 + 6 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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