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Simplifying 7x + -5 = 3(4x + 5) Reorder the terms: -5 + 7x = 3(4x + 5) Reorder the terms: -5 + 7x = 3(5 + 4x) -5 + 7x = (5 * 3 + 4x * 3) -5 + 7x = (15 + 12x) Solving -5 + 7x = 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 + 7x + -12x = 15 + 12x + -12x Combine like terms: 7x + -12x = -5x -5 + -5x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -5x = 15 + 0 -5 + -5x = 15 Add '5' to each side of the equation. -5 + 5 + -5x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 15 + 5 -5x = 15 + 5 Combine like terms: 15 + 5 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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