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Simplifying 5 + -1(9x + 6) = 3 + -1(4 + -7) Reorder the terms: 5 + -1(6 + 9x) = 3 + -1(4 + -7) 5 + (6 * -1 + 9x * -1) = 3 + -1(4 + -7) 5 + (-6 + -9x) = 3 + -1(4 + -7) Combine like terms: 5 + -6 = -1 -1 + -9x = 3 + -1(4 + -7) Combine like terms: 4 + -7 = -3 -1 + -9x = 3 + -1(-3) Multiply -1 * -3 -1 + -9x = 3 + 3 Combine like terms: 3 + 3 = 6 -1 + -9x = 6 Solving -1 + -9x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -9x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 6 + 1 -9x = 6 + 1 Combine like terms: 6 + 1 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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