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Simplifying 3(2x + -4) + -2x = -7x + 9 Reorder the terms: 3(-4 + 2x) + -2x = -7x + 9 (-4 * 3 + 2x * 3) + -2x = -7x + 9 (-12 + 6x) + -2x = -7x + 9 Combine like terms: 6x + -2x = 4x -12 + 4x = -7x + 9 Reorder the terms: -12 + 4x = 9 + -7x Solving -12 + 4x = 9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12 + 4x + 7x = 9 + -7x + 7x Combine like terms: 4x + 7x = 11x -12 + 11x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 11x = 9 + 0 -12 + 11x = 9 Add '12' to each side of the equation. -12 + 12 + 11x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 9 + 12 11x = 9 + 12 Combine like terms: 9 + 12 = 21 11x = 21 Divide each side by '11'. x = 1.909090909 Simplifying x = 1.909090909
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