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Simplifying 5(x + 2) = 9(x + -26) Reorder the terms: 5(2 + x) = 9(x + -26) (2 * 5 + x * 5) = 9(x + -26) (10 + 5x) = 9(x + -26) Reorder the terms: 10 + 5x = 9(-26 + x) 10 + 5x = (-26 * 9 + x * 9) 10 + 5x = (-234 + 9x) Solving 10 + 5x = -234 + 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. 10 + 5x + -9x = -234 + 9x + -9x Combine like terms: 5x + -9x = -4x 10 + -4x = -234 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -4x = -234 + 0 10 + -4x = -234 Add '-10' to each side of the equation. 10 + -10 + -4x = -234 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -234 + -10 -4x = -234 + -10 Combine like terms: -234 + -10 = -244 -4x = -244 Divide each side by '-4'. x = 61 Simplifying x = 61
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