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Simplifying 4 + -2(2x + 5) = 2(x + 4) Reorder the terms: 4 + -2(5 + 2x) = 2(x + 4) 4 + (5 * -2 + 2x * -2) = 2(x + 4) 4 + (-10 + -4x) = 2(x + 4) Combine like terms: 4 + -10 = -6 -6 + -4x = 2(x + 4) Reorder the terms: -6 + -4x = 2(4 + x) -6 + -4x = (4 * 2 + x * 2) -6 + -4x = (8 + 2x) Solving -6 + -4x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -4x + -2x = 8 + 2x + -2x Combine like terms: -4x + -2x = -6x -6 + -6x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -6x = 8 + 0 -6 + -6x = 8 Add '6' to each side of the equation. -6 + 6 + -6x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 8 + 6 -6x = 8 + 6 Combine like terms: 8 + 6 = 14 -6x = 14 Divide each side by '-6'. x = -2.333333333 Simplifying x = -2.333333333
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