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Simplifying 5(3x + -5) + -1(6x + -7) = 8 Reorder the terms: 5(-5 + 3x) + -1(6x + -7) = 8 (-5 * 5 + 3x * 5) + -1(6x + -7) = 8 (-25 + 15x) + -1(6x + -7) = 8 Reorder the terms: -25 + 15x + -1(-7 + 6x) = 8 -25 + 15x + (-7 * -1 + 6x * -1) = 8 -25 + 15x + (7 + -6x) = 8 Reorder the terms: -25 + 7 + 15x + -6x = 8 Combine like terms: -25 + 7 = -18 -18 + 15x + -6x = 8 Combine like terms: 15x + -6x = 9x -18 + 9x = 8 Solving -18 + 9x = 8 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 + 9x = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 8 + 18 9x = 8 + 18 Combine like terms: 8 + 18 = 26 9x = 26 Divide each side by '9'. x = 2.888888889 Simplifying x = 2.888888889
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