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Simplifying 8 + 4(4x + -4) = 6 + -5(2x + 1) Reorder the terms: 8 + 4(-4 + 4x) = 6 + -5(2x + 1) 8 + (-4 * 4 + 4x * 4) = 6 + -5(2x + 1) 8 + (-16 + 16x) = 6 + -5(2x + 1) Combine like terms: 8 + -16 = -8 -8 + 16x = 6 + -5(2x + 1) Reorder the terms: -8 + 16x = 6 + -5(1 + 2x) -8 + 16x = 6 + (1 * -5 + 2x * -5) -8 + 16x = 6 + (-5 + -10x) Combine like terms: 6 + -5 = 1 -8 + 16x = 1 + -10x Solving -8 + 16x = 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. -8 + 16x + 10x = 1 + -10x + 10x Combine like terms: 16x + 10x = 26x -8 + 26x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + 26x = 1 + 0 -8 + 26x = 1 Add '8' to each side of the equation. -8 + 8 + 26x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 26x = 1 + 8 26x = 1 + 8 Combine like terms: 1 + 8 = 9 26x = 9 Divide each side by '26'. x = 0.3461538462 Simplifying x = 0.3461538462
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