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Simplifying 7(9 + -2x) = 3(5x + -2) (9 * 7 + -2x * 7) = 3(5x + -2) (63 + -14x) = 3(5x + -2) Reorder the terms: 63 + -14x = 3(-2 + 5x) 63 + -14x = (-2 * 3 + 5x * 3) 63 + -14x = (-6 + 15x) Solving 63 + -14x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 63 + -14x + -15x = -6 + 15x + -15x Combine like terms: -14x + -15x = -29x 63 + -29x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 63 + -29x = -6 + 0 63 + -29x = -6 Add '-63' to each side of the equation. 63 + -63 + -29x = -6 + -63 Combine like terms: 63 + -63 = 0 0 + -29x = -6 + -63 -29x = -6 + -63 Combine like terms: -6 + -63 = -69 -29x = -69 Divide each side by '-29'. x = 2.379310345 Simplifying x = 2.379310345
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