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Simplifying 3(3x + -2) + 4 = 2(x + -1) + 2 Reorder the terms: 3(-2 + 3x) + 4 = 2(x + -1) + 2 (-2 * 3 + 3x * 3) + 4 = 2(x + -1) + 2 (-6 + 9x) + 4 = 2(x + -1) + 2 Reorder the terms: -6 + 4 + 9x = 2(x + -1) + 2 Combine like terms: -6 + 4 = -2 -2 + 9x = 2(x + -1) + 2 Reorder the terms: -2 + 9x = 2(-1 + x) + 2 -2 + 9x = (-1 * 2 + x * 2) + 2 -2 + 9x = (-2 + 2x) + 2 Reorder the terms: -2 + 9x = -2 + 2 + 2x Combine like terms: -2 + 2 = 0 -2 + 9x = 0 + 2x -2 + 9x = 2x Solving -2 + 9x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 9x + -2x = 2x + -2x Combine like terms: 9x + -2x = 7x -2 + 7x = 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 7x = 0 Add '2' to each side of the equation. -2 + 2 + 7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 0 + 2 7x = 0 + 2 Combine like terms: 0 + 2 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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