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Simplifying 3 + 5(x + -1) = 5 + -3(x + -9) Reorder the terms: 3 + 5(-1 + x) = 5 + -3(x + -9) 3 + (-1 * 5 + x * 5) = 5 + -3(x + -9) 3 + (-5 + 5x) = 5 + -3(x + -9) Combine like terms: 3 + -5 = -2 -2 + 5x = 5 + -3(x + -9) Reorder the terms: -2 + 5x = 5 + -3(-9 + x) -2 + 5x = 5 + (-9 * -3 + x * -3) -2 + 5x = 5 + (27 + -3x) Combine like terms: 5 + 27 = 32 -2 + 5x = 32 + -3x Solving -2 + 5x = 32 + -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. -2 + 5x + 3x = 32 + -3x + 3x Combine like terms: 5x + 3x = 8x -2 + 8x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 8x = 32 + 0 -2 + 8x = 32 Add '2' to each side of the equation. -2 + 2 + 8x = 32 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 32 + 2 8x = 32 + 2 Combine like terms: 32 + 2 = 34 8x = 34 Divide each side by '8'. x = 4.25 Simplifying x = 4.25
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