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Simplifying 6x + -1(2x + 7) = 5x + -46 Reorder the terms: 6x + -1(7 + 2x) = 5x + -46 6x + (7 * -1 + 2x * -1) = 5x + -46 6x + (-7 + -2x) = 5x + -46 Reorder the terms: -7 + 6x + -2x = 5x + -46 Combine like terms: 6x + -2x = 4x -7 + 4x = 5x + -46 Reorder the terms: -7 + 4x = -46 + 5x Solving -7 + 4x = -46 + 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. -7 + 4x + -5x = -46 + 5x + -5x Combine like terms: 4x + -5x = -1x -7 + -1x = -46 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -1x = -46 + 0 -7 + -1x = -46 Add '7' to each side of the equation. -7 + 7 + -1x = -46 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -46 + 7 -1x = -46 + 7 Combine like terms: -46 + 7 = -39 -1x = -39 Divide each side by '-1'. x = 39 Simplifying x = 39
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