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Simplifying 14x + -3 = -3 + 2(x + 30) Reorder the terms: -3 + 14x = -3 + 2(x + 30) Reorder the terms: -3 + 14x = -3 + 2(30 + x) -3 + 14x = -3 + (30 * 2 + x * 2) -3 + 14x = -3 + (60 + 2x) Combine like terms: -3 + 60 = 57 -3 + 14x = 57 + 2x Solving -3 + 14x = 57 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 14x + -2x = 57 + 2x + -2x Combine like terms: 14x + -2x = 12x -3 + 12x = 57 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 12x = 57 + 0 -3 + 12x = 57 Add '3' to each side of the equation. -3 + 3 + 12x = 57 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 57 + 3 12x = 57 + 3 Combine like terms: 57 + 3 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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