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Simplifying 7x + 3(3 + -1x) = 2(x + 8) + -7 7x + (3 * 3 + -1x * 3) = 2(x + 8) + -7 7x + (9 + -3x) = 2(x + 8) + -7 Reorder the terms: 9 + 7x + -3x = 2(x + 8) + -7 Combine like terms: 7x + -3x = 4x 9 + 4x = 2(x + 8) + -7 Reorder the terms: 9 + 4x = 2(8 + x) + -7 9 + 4x = (8 * 2 + x * 2) + -7 9 + 4x = (16 + 2x) + -7 Reorder the terms: 9 + 4x = 16 + -7 + 2x Combine like terms: 16 + -7 = 9 9 + 4x = 9 + 2x Add '-9' to each side of the equation. 9 + -9 + 4x = 9 + -9 + 2x Combine like terms: 9 + -9 = 0 0 + 4x = 9 + -9 + 2x 4x = 9 + -9 + 2x Combine like terms: 9 + -9 = 0 4x = 0 + 2x 4x = 2x Solving 4x = 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. 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 2x + -2x Combine like terms: 2x + -2x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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