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Simplifying 5x + -6 = 4(x + -1) + c Reorder the terms: -6 + 5x = 4(x + -1) + c Reorder the terms: -6 + 5x = 4(-1 + x) + c -6 + 5x = (-1 * 4 + x * 4) + c -6 + 5x = (-4 + 4x) + c Reorder the terms: -6 + 5x = -4 + c + 4x Solving -6 + 5x = -4 + c + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 5x + -4x = -4 + c + 4x + -4x Combine like terms: 5x + -4x = 1x -6 + 1x = -4 + c + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 1x = -4 + c + 0 -6 + 1x = -4 + c Add '6' to each side of the equation. -6 + 6 + 1x = -4 + 6 + c Combine like terms: -6 + 6 = 0 0 + 1x = -4 + 6 + c 1x = -4 + 6 + c Combine like terms: -4 + 6 = 2 1x = 2 + c Divide each side by '1'. x = 2 + c Simplifying x = 2 + c
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