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Simplifying 2(4x + -3) + -3(1 + -2x) = 12 Reorder the terms: 2(-3 + 4x) + -3(1 + -2x) = 12 (-3 * 2 + 4x * 2) + -3(1 + -2x) = 12 (-6 + 8x) + -3(1 + -2x) = 12 -6 + 8x + (1 * -3 + -2x * -3) = 12 -6 + 8x + (-3 + 6x) = 12 Reorder the terms: -6 + -3 + 8x + 6x = 12 Combine like terms: -6 + -3 = -9 -9 + 8x + 6x = 12 Combine like terms: 8x + 6x = 14x -9 + 14x = 12 Solving -9 + 14x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 14x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 14x = 12 + 9 14x = 12 + 9 Combine like terms: 12 + 9 = 21 14x = 21 Divide each side by '14'. x = 1.5 Simplifying x = 1.5
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