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Simplifying 2 + 9(x + -4) = 3 + -9(x + -3) Reorder the terms: 2 + 9(-4 + x) = 3 + -9(x + -3) 2 + (-4 * 9 + x * 9) = 3 + -9(x + -3) 2 + (-36 + 9x) = 3 + -9(x + -3) Combine like terms: 2 + -36 = -34 -34 + 9x = 3 + -9(x + -3) Reorder the terms: -34 + 9x = 3 + -9(-3 + x) -34 + 9x = 3 + (-3 * -9 + x * -9) -34 + 9x = 3 + (27 + -9x) Combine like terms: 3 + 27 = 30 -34 + 9x = 30 + -9x Solving -34 + 9x = 30 + -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. -34 + 9x + 9x = 30 + -9x + 9x Combine like terms: 9x + 9x = 18x -34 + 18x = 30 + -9x + 9x Combine like terms: -9x + 9x = 0 -34 + 18x = 30 + 0 -34 + 18x = 30 Add '34' to each side of the equation. -34 + 34 + 18x = 30 + 34 Combine like terms: -34 + 34 = 0 0 + 18x = 30 + 34 18x = 30 + 34 Combine like terms: 30 + 34 = 64 18x = 64 Divide each side by '18'. x = 3.555555556 Simplifying x = 3.555555556
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