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Simplifying 13x + -9 = -2(-4x + -3) Reorder the terms: -9 + 13x = -2(-4x + -3) Reorder the terms: -9 + 13x = -2(-3 + -4x) -9 + 13x = (-3 * -2 + -4x * -2) -9 + 13x = (6 + 8x) Solving -9 + 13x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 13x + -8x = 6 + 8x + -8x Combine like terms: 13x + -8x = 5x -9 + 5x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + 5x = 6 + 0 -9 + 5x = 6 Add '9' to each side of the equation. -9 + 9 + 5x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 6 + 9 5x = 6 + 9 Combine like terms: 6 + 9 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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