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Simplifying 4x + 2(3 + -2x) = 4 + -3(2x + 5) 4x + (3 * 2 + -2x * 2) = 4 + -3(2x + 5) 4x + (6 + -4x) = 4 + -3(2x + 5) Reorder the terms: 6 + 4x + -4x = 4 + -3(2x + 5) Combine like terms: 4x + -4x = 0 6 + 0 = 4 + -3(2x + 5) 6 = 4 + -3(2x + 5) Reorder the terms: 6 = 4 + -3(5 + 2x) 6 = 4 + (5 * -3 + 2x * -3) 6 = 4 + (-15 + -6x) Combine like terms: 4 + -15 = -11 6 = -11 + -6x Solving 6 = -11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + 6x = -11 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 6x = -11 + 0 6 + 6x = -11 Add '-6' to each side of the equation. 6 + -6 + 6x = -11 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -11 + -6 6x = -11 + -6 Combine like terms: -11 + -6 = -17 6x = -17 Divide each side by '6'. x = -2.833333333 Simplifying x = -2.833333333
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