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Simplifying 4(x + -9) = 3(x + 8) Reorder the terms: 4(-9 + x) = 3(x + 8) (-9 * 4 + x * 4) = 3(x + 8) (-36 + 4x) = 3(x + 8) Reorder the terms: -36 + 4x = 3(8 + x) -36 + 4x = (8 * 3 + x * 3) -36 + 4x = (24 + 3x) Solving -36 + 4x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -36 + 4x + -3x = 24 + 3x + -3x Combine like terms: 4x + -3x = 1x -36 + 1x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 1x = 24 + 0 -36 + 1x = 24 Add '36' to each side of the equation. -36 + 36 + 1x = 24 + 36 Combine like terms: -36 + 36 = 0 0 + 1x = 24 + 36 1x = 24 + 36 Combine like terms: 24 + 36 = 60 1x = 60 Divide each side by '1'. x = 60 Simplifying x = 60
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