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Simplifying -3(2x + 4) + -8 = -2(x + 5) + 2 Reorder the terms: -3(4 + 2x) + -8 = -2(x + 5) + 2 (4 * -3 + 2x * -3) + -8 = -2(x + 5) + 2 (-12 + -6x) + -8 = -2(x + 5) + 2 Reorder the terms: -12 + -8 + -6x = -2(x + 5) + 2 Combine like terms: -12 + -8 = -20 -20 + -6x = -2(x + 5) + 2 Reorder the terms: -20 + -6x = -2(5 + x) + 2 -20 + -6x = (5 * -2 + x * -2) + 2 -20 + -6x = (-10 + -2x) + 2 Reorder the terms: -20 + -6x = -10 + 2 + -2x Combine like terms: -10 + 2 = -8 -20 + -6x = -8 + -2x Solving -20 + -6x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + -6x + 2x = -8 + -2x + 2x Combine like terms: -6x + 2x = -4x -20 + -4x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + -4x = -8 + 0 -20 + -4x = -8 Add '20' to each side of the equation. -20 + 20 + -4x = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = -8 + 20 -4x = -8 + 20 Combine like terms: -8 + 20 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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