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Simplifying 4x + 3(x + -9) = 4(x + -6) Reorder the terms: 4x + 3(-9 + x) = 4(x + -6) 4x + (-9 * 3 + x * 3) = 4(x + -6) 4x + (-27 + 3x) = 4(x + -6) Reorder the terms: -27 + 4x + 3x = 4(x + -6) Combine like terms: 4x + 3x = 7x -27 + 7x = 4(x + -6) Reorder the terms: -27 + 7x = 4(-6 + x) -27 + 7x = (-6 * 4 + x * 4) -27 + 7x = (-24 + 4x) Solving -27 + 7x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -27 + 7x + -4x = -24 + 4x + -4x Combine like terms: 7x + -4x = 3x -27 + 3x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 3x = -24 + 0 -27 + 3x = -24 Add '27' to each side of the equation. -27 + 27 + 3x = -24 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = -24 + 27 3x = -24 + 27 Combine like terms: -24 + 27 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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