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Simplifying 12x + -3 = 5(2x + 1) Reorder the terms: -3 + 12x = 5(2x + 1) Reorder the terms: -3 + 12x = 5(1 + 2x) -3 + 12x = (1 * 5 + 2x * 5) -3 + 12x = (5 + 10x) Solving -3 + 12x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 12x + -10x = 5 + 10x + -10x Combine like terms: 12x + -10x = 2x -3 + 2x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + 2x = 5 + 0 -3 + 2x = 5 Add '3' to each side of the equation. -3 + 3 + 2x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 5 + 3 2x = 5 + 3 Combine like terms: 5 + 3 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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