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Simplifying 4x + 6(7x + -3) = 9(x + -5) Reorder the terms: 4x + 6(-3 + 7x) = 9(x + -5) 4x + (-3 * 6 + 7x * 6) = 9(x + -5) 4x + (-18 + 42x) = 9(x + -5) Reorder the terms: -18 + 4x + 42x = 9(x + -5) Combine like terms: 4x + 42x = 46x -18 + 46x = 9(x + -5) Reorder the terms: -18 + 46x = 9(-5 + x) -18 + 46x = (-5 * 9 + x * 9) -18 + 46x = (-45 + 9x) Solving -18 + 46x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -18 + 46x + -9x = -45 + 9x + -9x Combine like terms: 46x + -9x = 37x -18 + 37x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + 37x = -45 + 0 -18 + 37x = -45 Add '18' to each side of the equation. -18 + 18 + 37x = -45 + 18 Combine like terms: -18 + 18 = 0 0 + 37x = -45 + 18 37x = -45 + 18 Combine like terms: -45 + 18 = -27 37x = -27 Divide each side by '37'. x = -0.7297297297 Simplifying x = -0.7297297297
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