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Simplifying 8 + -1(3x + -2) = 3 + -4x Reorder the terms: 8 + -1(-2 + 3x) = 3 + -4x 8 + (-2 * -1 + 3x * -1) = 3 + -4x 8 + (2 + -3x) = 3 + -4x Combine like terms: 8 + 2 = 10 10 + -3x = 3 + -4x Solving 10 + -3x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + -3x + 4x = 3 + -4x + 4x Combine like terms: -3x + 4x = 1x 10 + 1x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 1x = 3 + 0 10 + 1x = 3 Add '-10' to each side of the equation. 10 + -10 + 1x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 3 + -10 1x = 3 + -10 Combine like terms: 3 + -10 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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