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Simplifying 5x + -4(2 + x) = 16 + -5(x + -2) 5x + (2 * -4 + x * -4) = 16 + -5(x + -2) 5x + (-8 + -4x) = 16 + -5(x + -2) Reorder the terms: -8 + 5x + -4x = 16 + -5(x + -2) Combine like terms: 5x + -4x = 1x -8 + 1x = 16 + -5(x + -2) Reorder the terms: -8 + 1x = 16 + -5(-2 + x) -8 + 1x = 16 + (-2 * -5 + x * -5) -8 + 1x = 16 + (10 + -5x) Combine like terms: 16 + 10 = 26 -8 + 1x = 26 + -5x Solving -8 + 1x = 26 + -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. -8 + 1x + 5x = 26 + -5x + 5x Combine like terms: 1x + 5x = 6x -8 + 6x = 26 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 6x = 26 + 0 -8 + 6x = 26 Add '8' to each side of the equation. -8 + 8 + 6x = 26 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 26 + 8 6x = 26 + 8 Combine like terms: 26 + 8 = 34 6x = 34 Divide each side by '6'. x = 5.666666667 Simplifying x = 5.666666667
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