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Simplifying 2x + 4x + -5 = 7(c + -1) + -1x Reorder the terms: -5 + 2x + 4x = 7(c + -1) + -1x Combine like terms: 2x + 4x = 6x -5 + 6x = 7(c + -1) + -1x Reorder the terms: -5 + 6x = 7(-1 + c) + -1x -5 + 6x = (-1 * 7 + c * 7) + -1x -5 + 6x = (-7 + 7c) + -1x Solving -5 + 6x = -7 + 7c + -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. -5 + 6x + x = -7 + 7c + -1x + x Combine like terms: 6x + x = 7x -5 + 7x = -7 + 7c + -1x + x Combine like terms: -1x + x = 0 -5 + 7x = -7 + 7c + 0 -5 + 7x = -7 + 7c Add '5' to each side of the equation. -5 + 5 + 7x = -7 + 5 + 7c Combine like terms: -5 + 5 = 0 0 + 7x = -7 + 5 + 7c 7x = -7 + 5 + 7c Combine like terms: -7 + 5 = -2 7x = -2 + 7c Divide each side by '7'. x = -0.2857142857 + c Simplifying x = -0.2857142857 + c
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