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Simplifying 4(x + -9) + 9 = 2(4 + -3x) + 3 Reorder the terms: 4(-9 + x) + 9 = 2(4 + -3x) + 3 (-9 * 4 + x * 4) + 9 = 2(4 + -3x) + 3 (-36 + 4x) + 9 = 2(4 + -3x) + 3 Reorder the terms: -36 + 9 + 4x = 2(4 + -3x) + 3 Combine like terms: -36 + 9 = -27 -27 + 4x = 2(4 + -3x) + 3 -27 + 4x = (4 * 2 + -3x * 2) + 3 -27 + 4x = (8 + -6x) + 3 Reorder the terms: -27 + 4x = 8 + 3 + -6x Combine like terms: 8 + 3 = 11 -27 + 4x = 11 + -6x Solving -27 + 4x = 11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -27 + 4x + 6x = 11 + -6x + 6x Combine like terms: 4x + 6x = 10x -27 + 10x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 -27 + 10x = 11 + 0 -27 + 10x = 11 Add '27' to each side of the equation. -27 + 27 + 10x = 11 + 27 Combine like terms: -27 + 27 = 0 0 + 10x = 11 + 27 10x = 11 + 27 Combine like terms: 11 + 27 = 38 10x = 38 Divide each side by '10'. x = 3.8 Simplifying x = 3.8
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