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Simplifying 3(4x + -1) + -2 = 17x + -10 Reorder the terms: 3(-1 + 4x) + -2 = 17x + -10 (-1 * 3 + 4x * 3) + -2 = 17x + -10 (-3 + 12x) + -2 = 17x + -10 Reorder the terms: -3 + -2 + 12x = 17x + -10 Combine like terms: -3 + -2 = -5 -5 + 12x = 17x + -10 Reorder the terms: -5 + 12x = -10 + 17x Solving -5 + 12x = -10 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -5 + 12x + -17x = -10 + 17x + -17x Combine like terms: 12x + -17x = -5x -5 + -5x = -10 + 17x + -17x Combine like terms: 17x + -17x = 0 -5 + -5x = -10 + 0 -5 + -5x = -10 Add '5' to each side of the equation. -5 + 5 + -5x = -10 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -10 + 5 -5x = -10 + 5 Combine like terms: -10 + 5 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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