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Simplifying x + (-7) = 3x + (-6) x + -7 = 3x + (-6) Reorder the terms: -7 + x = 3x + (-6) -7 + x = 3x + -6 Reorder the terms: -7 + x = -6 + 3x Solving -7 + x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + x + -3x = -6 + 3x + -3x Combine like terms: x + -3x = -2x -7 + -2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -2x = -6 + 0 -7 + -2x = -6 Add '7' to each side of the equation. -7 + 7 + -2x = -6 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -6 + 7 -2x = -6 + 7 Combine like terms: -6 + 7 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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