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Simplifying 1 + 3(x + 8) = 7(3 + -1x) + 14 Reorder the terms: 1 + 3(8 + x) = 7(3 + -1x) + 14 1 + (8 * 3 + x * 3) = 7(3 + -1x) + 14 1 + (24 + 3x) = 7(3 + -1x) + 14 Combine like terms: 1 + 24 = 25 25 + 3x = 7(3 + -1x) + 14 25 + 3x = (3 * 7 + -1x * 7) + 14 25 + 3x = (21 + -7x) + 14 Reorder the terms: 25 + 3x = 21 + 14 + -7x Combine like terms: 21 + 14 = 35 25 + 3x = 35 + -7x Solving 25 + 3x = 35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 25 + 3x + 7x = 35 + -7x + 7x Combine like terms: 3x + 7x = 10x 25 + 10x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 25 + 10x = 35 + 0 25 + 10x = 35 Add '-25' to each side of the equation. 25 + -25 + 10x = 35 + -25 Combine like terms: 25 + -25 = 0 0 + 10x = 35 + -25 10x = 35 + -25 Combine like terms: 35 + -25 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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