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Simplifying 3(4x + 2) + -7 = 10x + 5 Reorder the terms: 3(2 + 4x) + -7 = 10x + 5 (2 * 3 + 4x * 3) + -7 = 10x + 5 (6 + 12x) + -7 = 10x + 5 Reorder the terms: 6 + -7 + 12x = 10x + 5 Combine like terms: 6 + -7 = -1 -1 + 12x = 10x + 5 Reorder the terms: -1 + 12x = 5 + 10x Solving -1 + 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. -1 + 12x + -10x = 5 + 10x + -10x Combine like terms: 12x + -10x = 2x -1 + 2x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -1 + 2x = 5 + 0 -1 + 2x = 5 Add '1' to each side of the equation. -1 + 1 + 2x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 5 + 1 2x = 5 + 1 Combine like terms: 5 + 1 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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