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Simplifying 8 + -1(3x + 3) = 2 + 4(2x + -2) Reorder the terms: 8 + -1(3 + 3x) = 2 + 4(2x + -2) 8 + (3 * -1 + 3x * -1) = 2 + 4(2x + -2) 8 + (-3 + -3x) = 2 + 4(2x + -2) Combine like terms: 8 + -3 = 5 5 + -3x = 2 + 4(2x + -2) Reorder the terms: 5 + -3x = 2 + 4(-2 + 2x) 5 + -3x = 2 + (-2 * 4 + 2x * 4) 5 + -3x = 2 + (-8 + 8x) Combine like terms: 2 + -8 = -6 5 + -3x = -6 + 8x Solving 5 + -3x = -6 + 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. 5 + -3x + -8x = -6 + 8x + -8x Combine like terms: -3x + -8x = -11x 5 + -11x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -11x = -6 + 0 5 + -11x = -6 Add '-5' to each side of the equation. 5 + -5 + -11x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = -6 + -5 -11x = -6 + -5 Combine like terms: -6 + -5 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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