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Simplifying 4 + 2(3 + -2x) = 4 + -3(2x + 5) 4 + (3 * 2 + -2x * 2) = 4 + -3(2x + 5) 4 + (6 + -4x) = 4 + -3(2x + 5) Combine like terms: 4 + 6 = 10 10 + -4x = 4 + -3(2x + 5) Reorder the terms: 10 + -4x = 4 + -3(5 + 2x) 10 + -4x = 4 + (5 * -3 + 2x * -3) 10 + -4x = 4 + (-15 + -6x) Combine like terms: 4 + -15 = -11 10 + -4x = -11 + -6x Solving 10 + -4x = -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. 10 + -4x + 6x = -11 + -6x + 6x Combine like terms: -4x + 6x = 2x 10 + 2x = -11 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 2x = -11 + 0 10 + 2x = -11 Add '-10' to each side of the equation. 10 + -10 + 2x = -11 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -11 + -10 2x = -11 + -10 Combine like terms: -11 + -10 = -21 2x = -21 Divide each side by '2'. x = -10.5 Simplifying x = -10.5
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