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Simplifying 3 + 4[3 + -2(x + -5)] = 3(x + -2) Reorder the terms: 3 + 4[3 + -2(-5 + x)] = 3(x + -2) 3 + 4[3 + (-5 * -2 + x * -2)] = 3(x + -2) 3 + 4[3 + (10 + -2x)] = 3(x + -2) Combine like terms: 3 + 10 = 13 3 + 4[13 + -2x] = 3(x + -2) 3 + [13 * 4 + -2x * 4] = 3(x + -2) 3 + [52 + -8x] = 3(x + -2) Combine like terms: 3 + 52 = 55 55 + -8x = 3(x + -2) Reorder the terms: 55 + -8x = 3(-2 + x) 55 + -8x = (-2 * 3 + x * 3) 55 + -8x = (-6 + 3x) Solving 55 + -8x = -6 + 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. 55 + -8x + -3x = -6 + 3x + -3x Combine like terms: -8x + -3x = -11x 55 + -11x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 55 + -11x = -6 + 0 55 + -11x = -6 Add '-55' to each side of the equation. 55 + -55 + -11x = -6 + -55 Combine like terms: 55 + -55 = 0 0 + -11x = -6 + -55 -11x = -6 + -55 Combine like terms: -6 + -55 = -61 -11x = -61 Divide each side by '-11'. x = 5.545454545 Simplifying x = 5.545454545
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