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Simplifying -4(3x + 1) + x = 3x + 10 Reorder the terms: -4(1 + 3x) + x = 3x + 10 (1 * -4 + 3x * -4) + x = 3x + 10 (-4 + -12x) + x = 3x + 10 Combine like terms: -12x + x = -11x -4 + -11x = 3x + 10 Reorder the terms: -4 + -11x = 10 + 3x Solving -4 + -11x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + -11x + -3x = 10 + 3x + -3x Combine like terms: -11x + -3x = -14x -4 + -14x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -14x = 10 + 0 -4 + -14x = 10 Add '4' to each side of the equation. -4 + 4 + -14x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = 10 + 4 -14x = 10 + 4 Combine like terms: 10 + 4 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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