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Simplifying (x * 2 + 2x + -5) + -1(3x * 2 + -4x + 7) = 0 Reorder the terms for easier multiplication: (2x + 2x + -5) + -1(3x * 2 + -4x + 7) = 0 Reorder the terms: (-5 + 2x + 2x) + -1(3x * 2 + -4x + 7) = 0 Combine like terms: 2x + 2x = 4x (-5 + 4x) + -1(3x * 2 + -4x + 7) = 0 Remove parenthesis around (-5 + 4x) -5 + 4x + -1(3x * 2 + -4x + 7) = 0 Reorder the terms for easier multiplication: -5 + 4x + -1(3 * 2x + -4x + 7) = 0 Multiply 3 * 2 -5 + 4x + -1(6x + -4x + 7) = 0 Reorder the terms: -5 + 4x + -1(7 + 6x + -4x) = 0 Combine like terms: 6x + -4x = 2x -5 + 4x + -1(7 + 2x) = 0 -5 + 4x + (7 * -1 + 2x * -1) = 0 -5 + 4x + (-7 + -2x) = 0 Reorder the terms: -5 + -7 + 4x + -2x = 0 Combine like terms: -5 + -7 = -12 -12 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x -12 + 2x = 0 Solving -12 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 0 + 12 2x = 0 + 12 Combine like terms: 0 + 12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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