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Simplifying 3x + 4(x + -9) = 20 + -4(3 + x) Reorder the terms: 3x + 4(-9 + x) = 20 + -4(3 + x) 3x + (-9 * 4 + x * 4) = 20 + -4(3 + x) 3x + (-36 + 4x) = 20 + -4(3 + x) Reorder the terms: -36 + 3x + 4x = 20 + -4(3 + x) Combine like terms: 3x + 4x = 7x -36 + 7x = 20 + -4(3 + x) -36 + 7x = 20 + (3 * -4 + x * -4) -36 + 7x = 20 + (-12 + -4x) Combine like terms: 20 + -12 = 8 -36 + 7x = 8 + -4x Solving -36 + 7x = 8 + -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. -36 + 7x + 4x = 8 + -4x + 4x Combine like terms: 7x + 4x = 11x -36 + 11x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -36 + 11x = 8 + 0 -36 + 11x = 8 Add '36' to each side of the equation. -36 + 36 + 11x = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 11x = 8 + 36 11x = 8 + 36 Combine like terms: 8 + 36 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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