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Simplifying 3(3x + -9) + -4 = 3(x + -2) + 5 Reorder the terms: 3(-9 + 3x) + -4 = 3(x + -2) + 5 (-9 * 3 + 3x * 3) + -4 = 3(x + -2) + 5 (-27 + 9x) + -4 = 3(x + -2) + 5 Reorder the terms: -27 + -4 + 9x = 3(x + -2) + 5 Combine like terms: -27 + -4 = -31 -31 + 9x = 3(x + -2) + 5 Reorder the terms: -31 + 9x = 3(-2 + x) + 5 -31 + 9x = (-2 * 3 + x * 3) + 5 -31 + 9x = (-6 + 3x) + 5 Reorder the terms: -31 + 9x = -6 + 5 + 3x Combine like terms: -6 + 5 = -1 -31 + 9x = -1 + 3x Solving -31 + 9x = -1 + 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. -31 + 9x + -3x = -1 + 3x + -3x Combine like terms: 9x + -3x = 6x -31 + 6x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + 6x = -1 + 0 -31 + 6x = -1 Add '31' to each side of the equation. -31 + 31 + 6x = -1 + 31 Combine like terms: -31 + 31 = 0 0 + 6x = -1 + 31 6x = -1 + 31 Combine like terms: -1 + 31 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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