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Simplifying 3(3x + -2) = 4(3 + -1x) Reorder the terms: 3(-2 + 3x) = 4(3 + -1x) (-2 * 3 + 3x * 3) = 4(3 + -1x) (-6 + 9x) = 4(3 + -1x) -6 + 9x = (3 * 4 + -1x * 4) -6 + 9x = (12 + -4x) Solving -6 + 9x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + 9x + 4x = 12 + -4x + 4x Combine like terms: 9x + 4x = 13x -6 + 13x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 13x = 12 + 0 -6 + 13x = 12 Add '6' to each side of the equation. -6 + 6 + 13x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 12 + 6 13x = 12 + 6 Combine like terms: 12 + 6 = 18 13x = 18 Divide each side by '13'. x = 1.384615385 Simplifying x = 1.384615385
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