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Simplifying 5 + 4(4x + -4) = 5 + -5(2x + 1) Reorder the terms: 5 + 4(-4 + 4x) = 5 + -5(2x + 1) 5 + (-4 * 4 + 4x * 4) = 5 + -5(2x + 1) 5 + (-16 + 16x) = 5 + -5(2x + 1) Combine like terms: 5 + -16 = -11 -11 + 16x = 5 + -5(2x + 1) Reorder the terms: -11 + 16x = 5 + -5(1 + 2x) -11 + 16x = 5 + (1 * -5 + 2x * -5) -11 + 16x = 5 + (-5 + -10x) Combine like terms: 5 + -5 = 0 -11 + 16x = 0 + -10x -11 + 16x = -10x Solving -11 + 16x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -11 + 16x + 10x = -10x + 10x Combine like terms: 16x + 10x = 26x -11 + 26x = -10x + 10x Combine like terms: -10x + 10x = 0 -11 + 26x = 0 Add '11' to each side of the equation. -11 + 11 + 26x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 26x = 0 + 11 26x = 0 + 11 Combine like terms: 0 + 11 = 11 26x = 11 Divide each side by '26'. x = 0.4230769231 Simplifying x = 0.4230769231
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