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Simplifying 2x + 5 + -9x = 3(x + -5) Reorder the terms: 5 + 2x + -9x = 3(x + -5) Combine like terms: 2x + -9x = -7x 5 + -7x = 3(x + -5) Reorder the terms: 5 + -7x = 3(-5 + x) 5 + -7x = (-5 * 3 + x * 3) 5 + -7x = (-15 + 3x) Solving 5 + -7x = -15 + 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 + -7x + -3x = -15 + 3x + -3x Combine like terms: -7x + -3x = -10x 5 + -10x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -10x = -15 + 0 5 + -10x = -15 Add '-5' to each side of the equation. 5 + -5 + -10x = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = -15 + -5 -10x = -15 + -5 Combine like terms: -15 + -5 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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