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Simplifying 2(x + -1) = 3(3x + 2) + -4 Reorder the terms: 2(-1 + x) = 3(3x + 2) + -4 (-1 * 2 + x * 2) = 3(3x + 2) + -4 (-2 + 2x) = 3(3x + 2) + -4 Reorder the terms: -2 + 2x = 3(2 + 3x) + -4 -2 + 2x = (2 * 3 + 3x * 3) + -4 -2 + 2x = (6 + 9x) + -4 Reorder the terms: -2 + 2x = 6 + -4 + 9x Combine like terms: 6 + -4 = 2 -2 + 2x = 2 + 9x Solving -2 + 2x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 2x + -9x = 2 + 9x + -9x Combine like terms: 2x + -9x = -7x -2 + -7x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -7x = 2 + 0 -2 + -7x = 2 Add '2' to each side of the equation. -2 + 2 + -7x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 2 + 2 -7x = 2 + 2 Combine like terms: 2 + 2 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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