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Simplifying 4x + 3(3x + -4x) + -1(5 + 7) * 2 = 12 Combine like terms: 3x + -4x = -1x 4x + 3(-1x) + -1(5 + 7) * 2 = 12 Remove parenthesis around (-1x) 4x + 3 * -1x + -1(5 + 7) * 2 = 12 Multiply 3 * -1 4x + -3x + -1(5 + 7) * 2 = 12 Combine like terms: 5 + 7 = 12 4x + -3x + -1(12) * 2 = 12 Multiply -1 * 12 4x + -3x + -12 * 2 = 12 Multiply -12 * 2 4x + -3x + -24 = 12 Reorder the terms: -24 + 4x + -3x = 12 Combine like terms: 4x + -3x = 1x -24 + 1x = 12 Solving -24 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 12 + 24 1x = 12 + 24 Combine like terms: 12 + 24 = 36 1x = 36 Divide each side by '1'. x = 36 Simplifying x = 36
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