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Simplifying 4 + -2(3x + 4) = 2(5 + -2x) Reorder the terms: 4 + -2(4 + 3x) = 2(5 + -2x) 4 + (4 * -2 + 3x * -2) = 2(5 + -2x) 4 + (-8 + -6x) = 2(5 + -2x) Combine like terms: 4 + -8 = -4 -4 + -6x = 2(5 + -2x) -4 + -6x = (5 * 2 + -2x * 2) -4 + -6x = (10 + -4x) Solving -4 + -6x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -4 + -6x + 4x = 10 + -4x + 4x Combine like terms: -6x + 4x = -2x -4 + -2x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + -2x = 10 + 0 -4 + -2x = 10 Add '4' to each side of the equation. -4 + 4 + -2x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 10 + 4 -2x = 10 + 4 Combine like terms: 10 + 4 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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