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Simplifying (5x + 6) + -1(9x + -12) = 0 Reorder the terms: (6 + 5x) + -1(9x + -12) = 0 Remove parenthesis around (6 + 5x) 6 + 5x + -1(9x + -12) = 0 Reorder the terms: 6 + 5x + -1(-12 + 9x) = 0 6 + 5x + (-12 * -1 + 9x * -1) = 0 6 + 5x + (12 + -9x) = 0 Reorder the terms: 6 + 12 + 5x + -9x = 0 Combine like terms: 6 + 12 = 18 18 + 5x + -9x = 0 Combine like terms: 5x + -9x = -4x 18 + -4x = 0 Solving 18 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -4x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 0 + -18 -4x = 0 + -18 Combine like terms: 0 + -18 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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