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Simplifying 3(3x + -4) + -2 = 3(x + -2) + 4 Reorder the terms: 3(-4 + 3x) + -2 = 3(x + -2) + 4 (-4 * 3 + 3x * 3) + -2 = 3(x + -2) + 4 (-12 + 9x) + -2 = 3(x + -2) + 4 Reorder the terms: -12 + -2 + 9x = 3(x + -2) + 4 Combine like terms: -12 + -2 = -14 -14 + 9x = 3(x + -2) + 4 Reorder the terms: -14 + 9x = 3(-2 + x) + 4 -14 + 9x = (-2 * 3 + x * 3) + 4 -14 + 9x = (-6 + 3x) + 4 Reorder the terms: -14 + 9x = -6 + 4 + 3x Combine like terms: -6 + 4 = -2 -14 + 9x = -2 + 3x Solving -14 + 9x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 9x + -3x = -2 + 3x + -3x Combine like terms: 9x + -3x = 6x -14 + 6x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 6x = -2 + 0 -14 + 6x = -2 Add '14' to each side of the equation. -14 + 14 + 6x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = -2 + 14 6x = -2 + 14 Combine like terms: -2 + 14 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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