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Simplifying x + -7 = 6 + -1(x + -3) Reorder the terms: -7 + x = 6 + -1(x + -3) Reorder the terms: -7 + x = 6 + -1(-3 + x) -7 + x = 6 + (-3 * -1 + x * -1) -7 + x = 6 + (3 + -1x) Combine like terms: 6 + 3 = 9 -7 + x = 9 + -1x Solving -7 + x = 9 + -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. -7 + x + x = 9 + -1x + x Combine like terms: x + x = 2x -7 + 2x = 9 + -1x + x Combine like terms: -1x + x = 0 -7 + 2x = 9 + 0 -7 + 2x = 9 Add '7' to each side of the equation. -7 + 7 + 2x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 9 + 7 2x = 9 + 7 Combine like terms: 9 + 7 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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