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Simplifying -6(2 + 4x) + -8 = 7(-4x + -4) (2 * -6 + 4x * -6) + -8 = 7(-4x + -4) (-12 + -24x) + -8 = 7(-4x + -4) Reorder the terms: -12 + -8 + -24x = 7(-4x + -4) Combine like terms: -12 + -8 = -20 -20 + -24x = 7(-4x + -4) Reorder the terms: -20 + -24x = 7(-4 + -4x) -20 + -24x = (-4 * 7 + -4x * 7) -20 + -24x = (-28 + -28x) Solving -20 + -24x = -28 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -20 + -24x + 28x = -28 + -28x + 28x Combine like terms: -24x + 28x = 4x -20 + 4x = -28 + -28x + 28x Combine like terms: -28x + 28x = 0 -20 + 4x = -28 + 0 -20 + 4x = -28 Add '20' to each side of the equation. -20 + 20 + 4x = -28 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -28 + 20 4x = -28 + 20 Combine like terms: -28 + 20 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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