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Simplifying 2x + 3(3x + -4) = 6 + -7x Reorder the terms: 2x + 3(-4 + 3x) = 6 + -7x 2x + (-4 * 3 + 3x * 3) = 6 + -7x 2x + (-12 + 9x) = 6 + -7x Reorder the terms: -12 + 2x + 9x = 6 + -7x Combine like terms: 2x + 9x = 11x -12 + 11x = 6 + -7x Solving -12 + 11x = 6 + -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 + 11x + 7x = 6 + -7x + 7x Combine like terms: 11x + 7x = 18x -12 + 18x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 18x = 6 + 0 -12 + 18x = 6 Add '12' to each side of the equation. -12 + 12 + 18x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = 6 + 12 18x = 6 + 12 Combine like terms: 6 + 12 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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