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Simplifying 9x + -5 = 3(x + -2) + 13 Reorder the terms: -5 + 9x = 3(x + -2) + 13 Reorder the terms: -5 + 9x = 3(-2 + x) + 13 -5 + 9x = (-2 * 3 + x * 3) + 13 -5 + 9x = (-6 + 3x) + 13 Reorder the terms: -5 + 9x = -6 + 13 + 3x Combine like terms: -6 + 13 = 7 -5 + 9x = 7 + 3x Solving -5 + 9x = 7 + 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. -5 + 9x + -3x = 7 + 3x + -3x Combine like terms: 9x + -3x = 6x -5 + 6x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 6x = 7 + 0 -5 + 6x = 7 Add '5' to each side of the equation. -5 + 5 + 6x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 7 + 5 6x = 7 + 5 Combine like terms: 7 + 5 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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