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Simplifying 3(3x + -2) = (x + 4)(4 + -1) Reorder the terms: 3(-2 + 3x) = (x + 4)(4 + -1) (-2 * 3 + 3x * 3) = (x + 4)(4 + -1) (-6 + 9x) = (x + 4)(4 + -1) Reorder the terms: -6 + 9x = (4 + x)(4 + -1) Combine like terms: 4 + -1 = 3 -6 + 9x = (4 + x)(3) Reorder the terms for easier multiplication: -6 + 9x = 3(4 + x) -6 + 9x = (4 * 3 + x * 3) -6 + 9x = (12 + 3x) Solving -6 + 9x = 12 + 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. -6 + 9x + -3x = 12 + 3x + -3x Combine like terms: 9x + -3x = 6x -6 + 6x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 6x = 12 + 0 -6 + 6x = 12 Add '6' to each side of the equation. -6 + 6 + 6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 12 + 6 6x = 12 + 6 Combine like terms: 12 + 6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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