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Simplifying 2x = 3[5 + -1(4x + -6) + x] Reorder the terms: 2x = 3[5 + -1(-6 + 4x) + x] 2x = 3[5 + (-6 * -1 + 4x * -1) + x] 2x = 3[5 + (6 + -4x) + x] Combine like terms: 5 + 6 = 11 2x = 3[11 + -4x + x] Combine like terms: -4x + x = -3x 2x = 3[11 + -3x] 2x = [11 * 3 + -3x * 3] 2x = [33 + -9x] Solving 2x = 33 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 2x + 9x = 33 + -9x + 9x Combine like terms: 2x + 9x = 11x 11x = 33 + -9x + 9x Combine like terms: -9x + 9x = 0 11x = 33 + 0 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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