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Simplifying x + -3x + -7 = 6x + 5 + -8 Reorder the terms: -7 + x + -3x = 6x + 5 + -8 Combine like terms: x + -3x = -2x -7 + -2x = 6x + 5 + -8 Reorder the terms: -7 + -2x = 5 + -8 + 6x Combine like terms: 5 + -8 = -3 -7 + -2x = -3 + 6x Solving -7 + -2x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + -2x + -6x = -3 + 6x + -6x Combine like terms: -2x + -6x = -8x -7 + -8x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -8x = -3 + 0 -7 + -8x = -3 Add '7' to each side of the equation. -7 + 7 + -8x = -3 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -3 + 7 -8x = -3 + 7 Combine like terms: -3 + 7 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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