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Simplifying 6x + -7(x + 1) + -1x = 7 Reorder the terms: 6x + -7(1 + x) + -1x = 7 6x + (1 * -7 + x * -7) + -1x = 7 6x + (-7 + -7x) + -1x = 7 Reorder the terms: -7 + 6x + -7x + -1x = 7 Combine like terms: 6x + -7x = -1x -7 + -1x + -1x = 7 Combine like terms: -1x + -1x = -2x -7 + -2x = 7 Solving -7 + -2x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 7 + 7 -2x = 7 + 7 Combine like terms: 7 + 7 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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