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Simplifying -2 + -6(4x + 8) = -2(1 + 10x) Reorder the terms: -2 + -6(8 + 4x) = -2(1 + 10x) -2 + (8 * -6 + 4x * -6) = -2(1 + 10x) -2 + (-48 + -24x) = -2(1 + 10x) Combine like terms: -2 + -48 = -50 -50 + -24x = -2(1 + 10x) -50 + -24x = (1 * -2 + 10x * -2) -50 + -24x = (-2 + -20x) Solving -50 + -24x = -2 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -50 + -24x + 20x = -2 + -20x + 20x Combine like terms: -24x + 20x = -4x -50 + -4x = -2 + -20x + 20x Combine like terms: -20x + 20x = 0 -50 + -4x = -2 + 0 -50 + -4x = -2 Add '50' to each side of the equation. -50 + 50 + -4x = -2 + 50 Combine like terms: -50 + 50 = 0 0 + -4x = -2 + 50 -4x = -2 + 50 Combine like terms: -2 + 50 = 48 -4x = 48 Divide each side by '-4'. x = -12 Simplifying x = -12
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