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Simplifying (7x + -10) = 6(3x + -5) Reorder the terms: (-10 + 7x) = 6(3x + -5) Remove parenthesis around (-10 + 7x) -10 + 7x = 6(3x + -5) Reorder the terms: -10 + 7x = 6(-5 + 3x) -10 + 7x = (-5 * 6 + 3x * 6) -10 + 7x = (-30 + 18x) Solving -10 + 7x = -30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -10 + 7x + -18x = -30 + 18x + -18x Combine like terms: 7x + -18x = -11x -10 + -11x = -30 + 18x + -18x Combine like terms: 18x + -18x = 0 -10 + -11x = -30 + 0 -10 + -11x = -30 Add '10' to each side of the equation. -10 + 10 + -11x = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -11x = -30 + 10 -11x = -30 + 10 Combine like terms: -30 + 10 = -20 -11x = -20 Divide each side by '-11'. x = 1.818181818 Simplifying x = 1.818181818
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