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Simplifying 5(x + -1) = -3(2 + -1x) + 3x Reorder the terms: 5(-1 + x) = -3(2 + -1x) + 3x (-1 * 5 + x * 5) = -3(2 + -1x) + 3x (-5 + 5x) = -3(2 + -1x) + 3x -5 + 5x = (2 * -3 + -1x * -3) + 3x -5 + 5x = (-6 + 3x) + 3x Combine like terms: 3x + 3x = 6x -5 + 5x = -6 + 6x Solving -5 + 5x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 5x + -6x = -6 + 6x + -6x Combine like terms: 5x + -6x = -1x -5 + -1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -1x = -6 + 0 -5 + -1x = -6 Add '5' to each side of the equation. -5 + 5 + -1x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -6 + 5 -1x = -6 + 5 Combine like terms: -6 + 5 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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