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Simplifying 3[7x + -2(x + -4)] + 1 = 10 Reorder the terms: 3[7x + -2(-4 + x)] + 1 = 10 3[7x + (-4 * -2 + x * -2)] + 1 = 10 3[7x + (8 + -2x)] + 1 = 10 Reorder the terms: 3[8 + 7x + -2x] + 1 = 10 Combine like terms: 7x + -2x = 5x 3[8 + 5x] + 1 = 10 [8 * 3 + 5x * 3] + 1 = 10 [24 + 15x] + 1 = 10 Reorder the terms: 24 + 1 + 15x = 10 Combine like terms: 24 + 1 = 25 25 + 15x = 10 Solving 25 + 15x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 15x = 10 + -25 Combine like terms: 25 + -25 = 0 0 + 15x = 10 + -25 15x = 10 + -25 Combine like terms: 10 + -25 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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