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Simplifying 2 + 4(4x + -5) = 8 + -5(2x + 1) Reorder the terms: 2 + 4(-5 + 4x) = 8 + -5(2x + 1) 2 + (-5 * 4 + 4x * 4) = 8 + -5(2x + 1) 2 + (-20 + 16x) = 8 + -5(2x + 1) Combine like terms: 2 + -20 = -18 -18 + 16x = 8 + -5(2x + 1) Reorder the terms: -18 + 16x = 8 + -5(1 + 2x) -18 + 16x = 8 + (1 * -5 + 2x * -5) -18 + 16x = 8 + (-5 + -10x) Combine like terms: 8 + -5 = 3 -18 + 16x = 3 + -10x Solving -18 + 16x = 3 + -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. -18 + 16x + 10x = 3 + -10x + 10x Combine like terms: 16x + 10x = 26x -18 + 26x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -18 + 26x = 3 + 0 -18 + 26x = 3 Add '18' to each side of the equation. -18 + 18 + 26x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 26x = 3 + 18 26x = 3 + 18 Combine like terms: 3 + 18 = 21 26x = 21 Divide each side by '26'. x = 0.8076923077 Simplifying x = 0.8076923077
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