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Simplifying 8(7 + -4x) = -2 + -3x (7 * 8 + -4x * 8) = -2 + -3x (56 + -32x) = -2 + -3x Solving 56 + -32x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 56 + -32x + 3x = -2 + -3x + 3x Combine like terms: -32x + 3x = -29x 56 + -29x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 56 + -29x = -2 + 0 56 + -29x = -2 Add '-56' to each side of the equation. 56 + -56 + -29x = -2 + -56 Combine like terms: 56 + -56 = 0 0 + -29x = -2 + -56 -29x = -2 + -56 Combine like terms: -2 + -56 = -58 -29x = -58 Divide each side by '-29'. x = 2 Simplifying x = 2
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