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Simplifying 14x + -10 = 3(4 + x) Reorder the terms: -10 + 14x = 3(4 + x) -10 + 14x = (4 * 3 + x * 3) -10 + 14x = (12 + 3x) Solving -10 + 14x = 12 + 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. -10 + 14x + -3x = 12 + 3x + -3x Combine like terms: 14x + -3x = 11x -10 + 11x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 11x = 12 + 0 -10 + 11x = 12 Add '10' to each side of the equation. -10 + 10 + 11x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 12 + 10 11x = 12 + 10 Combine like terms: 12 + 10 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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