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Simplifying 14x + 30(x + -2) = (3x + -2) Reorder the terms: 14x + 30(-2 + x) = (3x + -2) 14x + (-2 * 30 + x * 30) = (3x + -2) 14x + (-60 + 30x) = (3x + -2) Reorder the terms: -60 + 14x + 30x = (3x + -2) Combine like terms: 14x + 30x = 44x -60 + 44x = (3x + -2) Reorder the terms: -60 + 44x = (-2 + 3x) Remove parenthesis around (-2 + 3x) -60 + 44x = -2 + 3x Solving -60 + 44x = -2 + 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. -60 + 44x + -3x = -2 + 3x + -3x Combine like terms: 44x + -3x = 41x -60 + 41x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -60 + 41x = -2 + 0 -60 + 41x = -2 Add '60' to each side of the equation. -60 + 60 + 41x = -2 + 60 Combine like terms: -60 + 60 = 0 0 + 41x = -2 + 60 41x = -2 + 60 Combine like terms: -2 + 60 = 58 41x = 58 Divide each side by '41'. x = 1.414634146 Simplifying x = 1.414634146
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