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Simplifying 9 + -2(3x + -2) = -3x + -5 Reorder the terms: 9 + -2(-2 + 3x) = -3x + -5 9 + (-2 * -2 + 3x * -2) = -3x + -5 9 + (4 + -6x) = -3x + -5 Combine like terms: 9 + 4 = 13 13 + -6x = -3x + -5 Reorder the terms: 13 + -6x = -5 + -3x Solving 13 + -6x = -5 + -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. 13 + -6x + 3x = -5 + -3x + 3x Combine like terms: -6x + 3x = -3x 13 + -3x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + -3x = -5 + 0 13 + -3x = -5 Add '-13' to each side of the equation. 13 + -13 + -3x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -5 + -13 -3x = -5 + -13 Combine like terms: -5 + -13 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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