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Simplifying 3(4x + -5) = 10x + -1 Reorder the terms: 3(-5 + 4x) = 10x + -1 (-5 * 3 + 4x * 3) = 10x + -1 (-15 + 12x) = 10x + -1 Reorder the terms: -15 + 12x = -1 + 10x Solving -15 + 12x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -15 + 12x + -10x = -1 + 10x + -10x Combine like terms: 12x + -10x = 2x -15 + 2x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + 2x = -1 + 0 -15 + 2x = -1 Add '15' to each side of the equation. -15 + 15 + 2x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -1 + 15 2x = -1 + 15 Combine like terms: -1 + 15 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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