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Simplifying 9x + -1(6x + 6) = 4x + -46 Reorder the terms: 9x + -1(6 + 6x) = 4x + -46 9x + (6 * -1 + 6x * -1) = 4x + -46 9x + (-6 + -6x) = 4x + -46 Reorder the terms: -6 + 9x + -6x = 4x + -46 Combine like terms: 9x + -6x = 3x -6 + 3x = 4x + -46 Reorder the terms: -6 + 3x = -46 + 4x Solving -6 + 3x = -46 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 3x + -4x = -46 + 4x + -4x Combine like terms: 3x + -4x = -1x -6 + -1x = -46 + 4x + -4x Combine like terms: 4x + -4x = 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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