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Simplifying 4(x + -5) + x + -6 = 16 + -2x Reorder the terms: 4(-5 + x) + x + -6 = 16 + -2x (-5 * 4 + x * 4) + x + -6 = 16 + -2x (-20 + 4x) + x + -6 = 16 + -2x Reorder the terms: -20 + -6 + 4x + x = 16 + -2x Combine like terms: -20 + -6 = -26 -26 + 4x + x = 16 + -2x Combine like terms: 4x + x = 5x -26 + 5x = 16 + -2x Solving -26 + 5x = 16 + -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. -26 + 5x + 2x = 16 + -2x + 2x Combine like terms: 5x + 2x = 7x -26 + 7x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -26 + 7x = 16 + 0 -26 + 7x = 16 Add '26' to each side of the equation. -26 + 26 + 7x = 16 + 26 Combine like terms: -26 + 26 = 0 0 + 7x = 16 + 26 7x = 16 + 26 Combine like terms: 16 + 26 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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