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Simplifying 9(x + 8) + 2 = -9(x + -4) + -4 Reorder the terms: 9(8 + x) + 2 = -9(x + -4) + -4 (8 * 9 + x * 9) + 2 = -9(x + -4) + -4 (72 + 9x) + 2 = -9(x + -4) + -4 Reorder the terms: 72 + 2 + 9x = -9(x + -4) + -4 Combine like terms: 72 + 2 = 74 74 + 9x = -9(x + -4) + -4 Reorder the terms: 74 + 9x = -9(-4 + x) + -4 74 + 9x = (-4 * -9 + x * -9) + -4 74 + 9x = (36 + -9x) + -4 Reorder the terms: 74 + 9x = 36 + -4 + -9x Combine like terms: 36 + -4 = 32 74 + 9x = 32 + -9x Solving 74 + 9x = 32 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 74 + 9x + 9x = 32 + -9x + 9x Combine like terms: 9x + 9x = 18x 74 + 18x = 32 + -9x + 9x Combine like terms: -9x + 9x = 0 74 + 18x = 32 + 0 74 + 18x = 32 Add '-74' to each side of the equation. 74 + -74 + 18x = 32 + -74 Combine like terms: 74 + -74 = 0 0 + 18x = 32 + -74 18x = 32 + -74 Combine like terms: 32 + -74 = -42 18x = -42 Divide each side by '18'. x = -2.333333333 Simplifying x = -2.333333333
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