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Simplifying 3(x + -3) = 5(x + -1) + -6x Reorder the terms: 3(-3 + x) = 5(x + -1) + -6x (-3 * 3 + x * 3) = 5(x + -1) + -6x (-9 + 3x) = 5(x + -1) + -6x Reorder the terms: -9 + 3x = 5(-1 + x) + -6x -9 + 3x = (-1 * 5 + x * 5) + -6x -9 + 3x = (-5 + 5x) + -6x Combine like terms: 5x + -6x = -1x -9 + 3x = -5 + -1x Solving -9 + 3x = -5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + 3x + x = -5 + -1x + x Combine like terms: 3x + x = 4x -9 + 4x = -5 + -1x + x Combine like terms: -1x + x = 0 -9 + 4x = -5 + 0 -9 + 4x = -5 Add '9' to each side of the equation. -9 + 9 + 4x = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = -5 + 9 4x = -5 + 9 Combine like terms: -5 + 9 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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