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Simplifying 2(8 + -5x) = 6(4 + 3x) (8 * 2 + -5x * 2) = 6(4 + 3x) (16 + -10x) = 6(4 + 3x) 16 + -10x = (4 * 6 + 3x * 6) 16 + -10x = (24 + 18x) Solving 16 + -10x = 24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 16 + -10x + -18x = 24 + 18x + -18x Combine like terms: -10x + -18x = -28x 16 + -28x = 24 + 18x + -18x Combine like terms: 18x + -18x = 0 16 + -28x = 24 + 0 16 + -28x = 24 Add '-16' to each side of the equation. 16 + -16 + -28x = 24 + -16 Combine like terms: 16 + -16 = 0 0 + -28x = 24 + -16 -28x = 24 + -16 Combine like terms: 24 + -16 = 8 -28x = 8 Divide each side by '-28'. x = -0.2857142857 Simplifying x = -0.2857142857
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