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Simplifying 3(3x + -5) + -4 = 3(x + -5) + 32 Reorder the terms: 3(-5 + 3x) + -4 = 3(x + -5) + 32 (-5 * 3 + 3x * 3) + -4 = 3(x + -5) + 32 (-15 + 9x) + -4 = 3(x + -5) + 32 Reorder the terms: -15 + -4 + 9x = 3(x + -5) + 32 Combine like terms: -15 + -4 = -19 -19 + 9x = 3(x + -5) + 32 Reorder the terms: -19 + 9x = 3(-5 + x) + 32 -19 + 9x = (-5 * 3 + x * 3) + 32 -19 + 9x = (-15 + 3x) + 32 Reorder the terms: -19 + 9x = -15 + 32 + 3x Combine like terms: -15 + 32 = 17 -19 + 9x = 17 + 3x Solving -19 + 9x = 17 + 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. -19 + 9x + -3x = 17 + 3x + -3x Combine like terms: 9x + -3x = 6x -19 + 6x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -19 + 6x = 17 + 0 -19 + 6x = 17 Add '19' to each side of the equation. -19 + 19 + 6x = 17 + 19 Combine like terms: -19 + 19 = 0 0 + 6x = 17 + 19 6x = 17 + 19 Combine like terms: 17 + 19 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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