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