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