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Simplifying 6(x + -1) = -3x + 75 Reorder the terms: 6(-1 + x) = -3x + 75 (-1 * 6 + x * 6) = -3x + 75 (-6 + 6x) = -3x + 75 Reorder the terms: -6 + 6x = 75 + -3x Solving -6 + 6x = 75 + -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 + 6x + 3x = 75 + -3x + 3x Combine like terms: 6x + 3x = 9x -6 + 9x = 75 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 9x = 75 + 0 -6 + 9x = 75 Add '6' to each side of the equation. -6 + 6 + 9x = 75 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 75 + 6 9x = 75 + 6 Combine like terms: 75 + 6 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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