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Simplifying 9 + 5(x + -6) = 2 + -3(x + -1) Reorder the terms: 9 + 5(-6 + x) = 2 + -3(x + -1) 9 + (-6 * 5 + x * 5) = 2 + -3(x + -1) 9 + (-30 + 5x) = 2 + -3(x + -1) Combine like terms: 9 + -30 = -21 -21 + 5x = 2 + -3(x + -1) Reorder the terms: -21 + 5x = 2 + -3(-1 + x) -21 + 5x = 2 + (-1 * -3 + x * -3) -21 + 5x = 2 + (3 + -3x) Combine like terms: 2 + 3 = 5 -21 + 5x = 5 + -3x Solving -21 + 5x = 5 + -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. -21 + 5x + 3x = 5 + -3x + 3x Combine like terms: 5x + 3x = 8x -21 + 8x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -21 + 8x = 5 + 0 -21 + 8x = 5 Add '21' to each side of the equation. -21 + 21 + 8x = 5 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 5 + 21 8x = 5 + 21 Combine like terms: 5 + 21 = 26 8x = 26 Divide each side by '8'. x = 3.25 Simplifying x = 3.25
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