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Simplifying 3(4x + -2) + 3 = 2(x + 5) + 7 Reorder the terms: 3(-2 + 4x) + 3 = 2(x + 5) + 7 (-2 * 3 + 4x * 3) + 3 = 2(x + 5) + 7 (-6 + 12x) + 3 = 2(x + 5) + 7 Reorder the terms: -6 + 3 + 12x = 2(x + 5) + 7 Combine like terms: -6 + 3 = -3 -3 + 12x = 2(x + 5) + 7 Reorder the terms: -3 + 12x = 2(5 + x) + 7 -3 + 12x = (5 * 2 + x * 2) + 7 -3 + 12x = (10 + 2x) + 7 Reorder the terms: -3 + 12x = 10 + 7 + 2x Combine like terms: 10 + 7 = 17 -3 + 12x = 17 + 2x Solving -3 + 12x = 17 + 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 + 12x + -2x = 17 + 2x + -2x Combine like terms: 12x + -2x = 10x -3 + 10x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 10x = 17 + 0 -3 + 10x = 17 Add '3' to each side of the equation. -3 + 3 + 10x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 17 + 3 10x = 17 + 3 Combine like terms: 17 + 3 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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