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Simplifying 9x + -3(2x + -5) = 2x + 13 Reorder the terms: 9x + -3(-5 + 2x) = 2x + 13 9x + (-5 * -3 + 2x * -3) = 2x + 13 9x + (15 + -6x) = 2x + 13 Reorder the terms: 15 + 9x + -6x = 2x + 13 Combine like terms: 9x + -6x = 3x 15 + 3x = 2x + 13 Reorder the terms: 15 + 3x = 13 + 2x Solving 15 + 3x = 13 + 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. 15 + 3x + -2x = 13 + 2x + -2x Combine like terms: 3x + -2x = 1x 15 + 1x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 1x = 13 + 0 15 + 1x = 13 Add '-15' to each side of the equation. 15 + -15 + 1x = 13 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 13 + -15 1x = 13 + -15 Combine like terms: 13 + -15 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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