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Simplifying 8 + -4(7 + 6x) = 2 + -7x + (10 + -1x) 8 + (7 * -4 + 6x * -4) = 2 + -7x + (10 + -1x) 8 + (-28 + -24x) = 2 + -7x + (10 + -1x) Combine like terms: 8 + -28 = -20 -20 + -24x = 2 + -7x + (10 + -1x) Remove parenthesis around (10 + -1x) -20 + -24x = 2 + -7x + 10 + -1x Reorder the terms: -20 + -24x = 2 + 10 + -7x + -1x Combine like terms: 2 + 10 = 12 -20 + -24x = 12 + -7x + -1x Combine like terms: -7x + -1x = -8x -20 + -24x = 12 + -8x Solving -20 + -24x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -20 + -24x + 8x = 12 + -8x + 8x Combine like terms: -24x + 8x = -16x -20 + -16x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -20 + -16x = 12 + 0 -20 + -16x = 12 Add '20' to each side of the equation. -20 + 20 + -16x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -16x = 12 + 20 -16x = 12 + 20 Combine like terms: 12 + 20 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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