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Simplifying 8 + 2(4x + -5) = 6 + -5(2x + 1) Reorder the terms: 8 + 2(-5 + 4x) = 6 + -5(2x + 1) 8 + (-5 * 2 + 4x * 2) = 6 + -5(2x + 1) 8 + (-10 + 8x) = 6 + -5(2x + 1) Combine like terms: 8 + -10 = -2 -2 + 8x = 6 + -5(2x + 1) Reorder the terms: -2 + 8x = 6 + -5(1 + 2x) -2 + 8x = 6 + (1 * -5 + 2x * -5) -2 + 8x = 6 + (-5 + -10x) Combine like terms: 6 + -5 = 1 -2 + 8x = 1 + -10x Solving -2 + 8x = 1 + -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. -2 + 8x + 10x = 1 + -10x + 10x Combine like terms: 8x + 10x = 18x -2 + 18x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 -2 + 18x = 1 + 0 -2 + 18x = 1 Add '2' to each side of the equation. -2 + 2 + 18x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 18x = 1 + 2 18x = 1 + 2 Combine like terms: 1 + 2 = 3 18x = 3 Divide each side by '18'. x = 0.1666666667 Simplifying x = 0.1666666667
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