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Simplifying 4 + 9(x + -4) = 2 + -3(x + -2) Reorder the terms: 4 + 9(-4 + x) = 2 + -3(x + -2) 4 + (-4 * 9 + x * 9) = 2 + -3(x + -2) 4 + (-36 + 9x) = 2 + -3(x + -2) Combine like terms: 4 + -36 = -32 -32 + 9x = 2 + -3(x + -2) Reorder the terms: -32 + 9x = 2 + -3(-2 + x) -32 + 9x = 2 + (-2 * -3 + x * -3) -32 + 9x = 2 + (6 + -3x) Combine like terms: 2 + 6 = 8 -32 + 9x = 8 + -3x Solving -32 + 9x = 8 + -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. -32 + 9x + 3x = 8 + -3x + 3x Combine like terms: 9x + 3x = 12x -32 + 12x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -32 + 12x = 8 + 0 -32 + 12x = 8 Add '32' to each side of the equation. -32 + 32 + 12x = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 12x = 8 + 32 12x = 8 + 32 Combine like terms: 8 + 32 = 40 12x = 40 Divide each side by '12'. x = 3.333333333 Simplifying x = 3.333333333
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