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Simplifying 5x + -1 = 3(4x + -5) Reorder the terms: -1 + 5x = 3(4x + -5) Reorder the terms: -1 + 5x = 3(-5 + 4x) -1 + 5x = (-5 * 3 + 4x * 3) -1 + 5x = (-15 + 12x) Solving -1 + 5x = -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. -1 + 5x + -12x = -15 + 12x + -12x Combine like terms: 5x + -12x = -7x -1 + -7x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -7x = -15 + 0 -1 + -7x = -15 Add '1' to each side of the equation. -1 + 1 + -7x = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = -15 + 1 -7x = -15 + 1 Combine like terms: -15 + 1 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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