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Simplifying 6x + -1(8x + 6) = 6x + -46 Reorder the terms: 6x + -1(6 + 8x) = 6x + -46 6x + (6 * -1 + 8x * -1) = 6x + -46 6x + (-6 + -8x) = 6x + -46 Reorder the terms: -6 + 6x + -8x = 6x + -46 Combine like terms: 6x + -8x = -2x -6 + -2x = 6x + -46 Reorder the terms: -6 + -2x = -46 + 6x Solving -6 + -2x = -46 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + -2x + -6x = -46 + 6x + -6x Combine like terms: -2x + -6x = -8x -6 + -8x = -46 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -8x = -46 + 0 -6 + -8x = -46 Add '6' to each side of the equation. -6 + 6 + -8x = -46 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -46 + 6 -8x = -46 + 6 Combine like terms: -46 + 6 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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