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Simplifying 8 + 4(4x + -6) = 9 + -5(2x + 1) Reorder the terms: 8 + 4(-6 + 4x) = 9 + -5(2x + 1) 8 + (-6 * 4 + 4x * 4) = 9 + -5(2x + 1) 8 + (-24 + 16x) = 9 + -5(2x + 1) Combine like terms: 8 + -24 = -16 -16 + 16x = 9 + -5(2x + 1) Reorder the terms: -16 + 16x = 9 + -5(1 + 2x) -16 + 16x = 9 + (1 * -5 + 2x * -5) -16 + 16x = 9 + (-5 + -10x) Combine like terms: 9 + -5 = 4 -16 + 16x = 4 + -10x Solving -16 + 16x = 4 + -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. -16 + 16x + 10x = 4 + -10x + 10x Combine like terms: 16x + 10x = 26x -16 + 26x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 -16 + 26x = 4 + 0 -16 + 26x = 4 Add '16' to each side of the equation. -16 + 16 + 26x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 26x = 4 + 16 26x = 4 + 16 Combine like terms: 4 + 16 = 20 26x = 20 Divide each side by '26'. x = 0.7692307692 Simplifying x = 0.7692307692
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