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Simplifying 3(3x + -9) + -5 = 3(x + -2) + 10 Reorder the terms: 3(-9 + 3x) + -5 = 3(x + -2) + 10 (-9 * 3 + 3x * 3) + -5 = 3(x + -2) + 10 (-27 + 9x) + -5 = 3(x + -2) + 10 Reorder the terms: -27 + -5 + 9x = 3(x + -2) + 10 Combine like terms: -27 + -5 = -32 -32 + 9x = 3(x + -2) + 10 Reorder the terms: -32 + 9x = 3(-2 + x) + 10 -32 + 9x = (-2 * 3 + x * 3) + 10 -32 + 9x = (-6 + 3x) + 10 Reorder the terms: -32 + 9x = -6 + 10 + 3x Combine like terms: -6 + 10 = 4 -32 + 9x = 4 + 3x Solving -32 + 9x = 4 + 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 = 4 + 3x + -3x Combine like terms: 9x + -3x = 6x -32 + 6x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + 6x = 4 + 0 -32 + 6x = 4 Add '32' to each side of the equation. -32 + 32 + 6x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = 4 + 32 6x = 4 + 32 Combine like terms: 4 + 32 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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