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Simplifying 9(2x + -6) = 2(5x + 8) Reorder the terms: 9(-6 + 2x) = 2(5x + 8) (-6 * 9 + 2x * 9) = 2(5x + 8) (-54 + 18x) = 2(5x + 8) Reorder the terms: -54 + 18x = 2(8 + 5x) -54 + 18x = (8 * 2 + 5x * 2) -54 + 18x = (16 + 10x) Solving -54 + 18x = 16 + 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. -54 + 18x + -10x = 16 + 10x + -10x Combine like terms: 18x + -10x = 8x -54 + 8x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 -54 + 8x = 16 + 0 -54 + 8x = 16 Add '54' to each side of the equation. -54 + 54 + 8x = 16 + 54 Combine like terms: -54 + 54 = 0 0 + 8x = 16 + 54 8x = 16 + 54 Combine like terms: 16 + 54 = 70 8x = 70 Divide each side by '8'. x = 8.75 Simplifying x = 8.75
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