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Simplifying 3(2x + -3) + -2(4x + 3) = 1 Reorder the terms: 3(-3 + 2x) + -2(4x + 3) = 1 (-3 * 3 + 2x * 3) + -2(4x + 3) = 1 (-9 + 6x) + -2(4x + 3) = 1 Reorder the terms: -9 + 6x + -2(3 + 4x) = 1 -9 + 6x + (3 * -2 + 4x * -2) = 1 -9 + 6x + (-6 + -8x) = 1 Reorder the terms: -9 + -6 + 6x + -8x = 1 Combine like terms: -9 + -6 = -15 -15 + 6x + -8x = 1 Combine like terms: 6x + -8x = -2x -15 + -2x = 1 Solving -15 + -2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 1 + 15 -2x = 1 + 15 Combine like terms: 1 + 15 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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