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Simplifying 5 + 2(5x + -4) = 8 + -4(2x + 1) Reorder the terms: 5 + 2(-4 + 5x) = 8 + -4(2x + 1) 5 + (-4 * 2 + 5x * 2) = 8 + -4(2x + 1) 5 + (-8 + 10x) = 8 + -4(2x + 1) Combine like terms: 5 + -8 = -3 -3 + 10x = 8 + -4(2x + 1) Reorder the terms: -3 + 10x = 8 + -4(1 + 2x) -3 + 10x = 8 + (1 * -4 + 2x * -4) -3 + 10x = 8 + (-4 + -8x) Combine like terms: 8 + -4 = 4 -3 + 10x = 4 + -8x Solving -3 + 10x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -3 + 10x + 8x = 4 + -8x + 8x Combine like terms: 10x + 8x = 18x -3 + 18x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -3 + 18x = 4 + 0 -3 + 18x = 4 Add '3' to each side of the equation. -3 + 3 + 18x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 18x = 4 + 3 18x = 4 + 3 Combine like terms: 4 + 3 = 7 18x = 7 Divide each side by '18'. x = 0.3888888889 Simplifying x = 0.3888888889
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