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Simplifying 10x + -3 = 2(12 + 4x) + -7 Reorder the terms: -3 + 10x = 2(12 + 4x) + -7 -3 + 10x = (12 * 2 + 4x * 2) + -7 -3 + 10x = (24 + 8x) + -7 Reorder the terms: -3 + 10x = 24 + -7 + 8x Combine like terms: 24 + -7 = 17 -3 + 10x = 17 + 8x Solving -3 + 10x = 17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 10x + -8x = 17 + 8x + -8x Combine like terms: 10x + -8x = 2x -3 + 2x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 2x = 17 + 0 -3 + 2x = 17 Add '3' to each side of the equation. -3 + 3 + 2x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 17 + 3 2x = 17 + 3 Combine like terms: 17 + 3 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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