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Simplifying 3(-6x + 7) + -5(4x + -3) = 302 Reorder the terms: 3(7 + -6x) + -5(4x + -3) = 302 (7 * 3 + -6x * 3) + -5(4x + -3) = 302 (21 + -18x) + -5(4x + -3) = 302 Reorder the terms: 21 + -18x + -5(-3 + 4x) = 302 21 + -18x + (-3 * -5 + 4x * -5) = 302 21 + -18x + (15 + -20x) = 302 Reorder the terms: 21 + 15 + -18x + -20x = 302 Combine like terms: 21 + 15 = 36 36 + -18x + -20x = 302 Combine like terms: -18x + -20x = -38x 36 + -38x = 302 Solving 36 + -38x = 302 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -38x = 302 + -36 Combine like terms: 36 + -36 = 0 0 + -38x = 302 + -36 -38x = 302 + -36 Combine like terms: 302 + -36 = 266 -38x = 266 Divide each side by '-38'. x = -7 Simplifying x = -7
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