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Simplifying 8(x + 3) + x = 3(x + 5) + -4 Reorder the terms: 8(3 + x) + x = 3(x + 5) + -4 (3 * 8 + x * 8) + x = 3(x + 5) + -4 (24 + 8x) + x = 3(x + 5) + -4 Combine like terms: 8x + x = 9x 24 + 9x = 3(x + 5) + -4 Reorder the terms: 24 + 9x = 3(5 + x) + -4 24 + 9x = (5 * 3 + x * 3) + -4 24 + 9x = (15 + 3x) + -4 Reorder the terms: 24 + 9x = 15 + -4 + 3x Combine like terms: 15 + -4 = 11 24 + 9x = 11 + 3x Solving 24 + 9x = 11 + 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 = 11 + 3x + -3x Combine like terms: 9x + -3x = 6x 24 + 6x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 6x = 11 + 0 24 + 6x = 11 Add '-24' to each side of the equation. 24 + -24 + 6x = 11 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 11 + -24 6x = 11 + -24 Combine like terms: 11 + -24 = -13 6x = -13 Divide each side by '6'. x = -2.166666667 Simplifying x = -2.166666667
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