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Simplifying 9(2x + -3) = 8(x + 4) + 3 Reorder the terms: 9(-3 + 2x) = 8(x + 4) + 3 (-3 * 9 + 2x * 9) = 8(x + 4) + 3 (-27 + 18x) = 8(x + 4) + 3 Reorder the terms: -27 + 18x = 8(4 + x) + 3 -27 + 18x = (4 * 8 + x * 8) + 3 -27 + 18x = (32 + 8x) + 3 Reorder the terms: -27 + 18x = 32 + 3 + 8x Combine like terms: 32 + 3 = 35 -27 + 18x = 35 + 8x Solving -27 + 18x = 35 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -27 + 18x + -8x = 35 + 8x + -8x Combine like terms: 18x + -8x = 10x -27 + 10x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + 10x = 35 + 0 -27 + 10x = 35 Add '27' to each side of the equation. -27 + 27 + 10x = 35 + 27 Combine like terms: -27 + 27 = 0 0 + 10x = 35 + 27 10x = 35 + 27 Combine like terms: 35 + 27 = 62 10x = 62 Divide each side by '10'. x = 6.2 Simplifying x = 6.2
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