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Simplifying 4x + -6 = -8 + -6(-2x + -7) Reorder the terms: -6 + 4x = -8 + -6(-2x + -7) Reorder the terms: -6 + 4x = -8 + -6(-7 + -2x) -6 + 4x = -8 + (-7 * -6 + -2x * -6) -6 + 4x = -8 + (42 + 12x) Combine like terms: -8 + 42 = 34 -6 + 4x = 34 + 12x Solving -6 + 4x = 34 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 4x + -12x = 34 + 12x + -12x Combine like terms: 4x + -12x = -8x -6 + -8x = 34 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -8x = 34 + 0 -6 + -8x = 34 Add '6' to each side of the equation. -6 + 6 + -8x = 34 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 34 + 6 -8x = 34 + 6 Combine like terms: 34 + 6 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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