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Simplifying -7(2x + 6) + -8x = 6(-2 + -4x) Reorder the terms: -7(6 + 2x) + -8x = 6(-2 + -4x) (6 * -7 + 2x * -7) + -8x = 6(-2 + -4x) (-42 + -14x) + -8x = 6(-2 + -4x) Combine like terms: -14x + -8x = -22x -42 + -22x = 6(-2 + -4x) -42 + -22x = (-2 * 6 + -4x * 6) -42 + -22x = (-12 + -24x) Solving -42 + -22x = -12 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -42 + -22x + 24x = -12 + -24x + 24x Combine like terms: -22x + 24x = 2x -42 + 2x = -12 + -24x + 24x Combine like terms: -24x + 24x = 0 -42 + 2x = -12 + 0 -42 + 2x = -12 Add '42' to each side of the equation. -42 + 42 + 2x = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = -12 + 42 2x = -12 + 42 Combine like terms: -12 + 42 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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