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Simplifying 6 + 4(4x + -6) = 6 + -5(2x + 1) Reorder the terms: 6 + 4(-6 + 4x) = 6 + -5(2x + 1) 6 + (-6 * 4 + 4x * 4) = 6 + -5(2x + 1) 6 + (-24 + 16x) = 6 + -5(2x + 1) Combine like terms: 6 + -24 = -18 -18 + 16x = 6 + -5(2x + 1) Reorder the terms: -18 + 16x = 6 + -5(1 + 2x) -18 + 16x = 6 + (1 * -5 + 2x * -5) -18 + 16x = 6 + (-5 + -10x) Combine like terms: 6 + -5 = 1 -18 + 16x = 1 + -10x Solving -18 + 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. -18 + 16x + 10x = 1 + -10x + 10x Combine like terms: 16x + 10x = 26x -18 + 26x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 -18 + 26x = 1 + 0 -18 + 26x = 1 Add '18' to each side of the equation. -18 + 18 + 26x = 1 + 18 Combine like terms: -18 + 18 = 0 0 + 26x = 1 + 18 26x = 1 + 18 Combine like terms: 1 + 18 = 19 26x = 19 Divide each side by '26'. x = 0.7307692308 Simplifying x = 0.7307692308
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