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Simplifying x + -7 = 3x + -1(8 + -6x) Reorder the terms: -7 + x = 3x + -1(8 + -6x) -7 + x = 3x + (8 * -1 + -6x * -1) -7 + x = 3x + (-8 + 6x) Reorder the terms: -7 + x = -8 + 3x + 6x Combine like terms: 3x + 6x = 9x -7 + x = -8 + 9x Solving -7 + x = -8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + x + -9x = -8 + 9x + -9x Combine like terms: x + -9x = -8x -7 + -8x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -8x = -8 + 0 -7 + -8x = -8 Add '7' to each side of the equation. -7 + 7 + -8x = -8 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -8 + 7 -8x = -8 + 7 Combine like terms: -8 + 7 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125
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