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Simplifying 2x + -4(x + 5) = 5x + 6 Reorder the terms: 2x + -4(5 + x) = 5x + 6 2x + (5 * -4 + x * -4) = 5x + 6 2x + (-20 + -4x) = 5x + 6 Reorder the terms: -20 + 2x + -4x = 5x + 6 Combine like terms: 2x + -4x = -2x -20 + -2x = 5x + 6 Reorder the terms: -20 + -2x = 6 + 5x Solving -20 + -2x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20 + -2x + -5x = 6 + 5x + -5x Combine like terms: -2x + -5x = -7x -20 + -7x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + -7x = 6 + 0 -20 + -7x = 6 Add '20' to each side of the equation. -20 + 20 + -7x = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -7x = 6 + 20 -7x = 6 + 20 Combine like terms: 6 + 20 = 26 -7x = 26 Divide each side by '-7'. x = -3.714285714 Simplifying x = -3.714285714
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