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Simplifying 3(3x + -2) + -2(5 + 3x) + -2 = 0 Reorder the terms: 3(-2 + 3x) + -2(5 + 3x) + -2 = 0 (-2 * 3 + 3x * 3) + -2(5 + 3x) + -2 = 0 (-6 + 9x) + -2(5 + 3x) + -2 = 0 -6 + 9x + (5 * -2 + 3x * -2) + -2 = 0 -6 + 9x + (-10 + -6x) + -2 = 0 Reorder the terms: -6 + -10 + -2 + 9x + -6x = 0 Combine like terms: -6 + -10 = -16 -16 + -2 + 9x + -6x = 0 Combine like terms: -16 + -2 = -18 -18 + 9x + -6x = 0 Combine like terms: 9x + -6x = 3x -18 + 3x = 0 Solving -18 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 3x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 0 + 18 3x = 0 + 18 Combine like terms: 0 + 18 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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