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Simplifying 8(x + 3) + x = 3(x + 2) + 7 Reorder the terms: 8(3 + x) + x = 3(x + 2) + 7 (3 * 8 + x * 8) + x = 3(x + 2) + 7 (24 + 8x) + x = 3(x + 2) + 7 Combine like terms: 8x + x = 9x 24 + 9x = 3(x + 2) + 7 Reorder the terms: 24 + 9x = 3(2 + x) + 7 24 + 9x = (2 * 3 + x * 3) + 7 24 + 9x = (6 + 3x) + 7 Reorder the terms: 24 + 9x = 6 + 7 + 3x Combine like terms: 6 + 7 = 13 24 + 9x = 13 + 3x Solving 24 + 9x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + 9x + -3x = 13 + 3x + -3x Combine like terms: 9x + -3x = 6x 24 + 6x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 6x = 13 + 0 24 + 6x = 13 Add '-24' to each side of the equation. 24 + -24 + 6x = 13 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 13 + -24 6x = 13 + -24 Combine like terms: 13 + -24 = -11 6x = -11 Divide each side by '6'. x = -1.833333333 Simplifying x = -1.833333333
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