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Simplifying 2x + 5 = 3(4x + -5) Reorder the terms: 5 + 2x = 3(4x + -5) Reorder the terms: 5 + 2x = 3(-5 + 4x) 5 + 2x = (-5 * 3 + 4x * 3) 5 + 2x = (-15 + 12x) Solving 5 + 2x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 5 + 2x + -12x = -15 + 12x + -12x Combine like terms: 2x + -12x = -10x 5 + -10x = -15 + 12x + -12x Combine like terms: 12x + -12x = 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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