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Simplifying 3(7x + -1) + -6(5x + 2) = 3 Reorder the terms: 3(-1 + 7x) + -6(5x + 2) = 3 (-1 * 3 + 7x * 3) + -6(5x + 2) = 3 (-3 + 21x) + -6(5x + 2) = 3 Reorder the terms: -3 + 21x + -6(2 + 5x) = 3 -3 + 21x + (2 * -6 + 5x * -6) = 3 -3 + 21x + (-12 + -30x) = 3 Reorder the terms: -3 + -12 + 21x + -30x = 3 Combine like terms: -3 + -12 = -15 -15 + 21x + -30x = 3 Combine like terms: 21x + -30x = -9x -15 + -9x = 3 Solving -15 + -9x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -9x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = 3 + 15 -9x = 3 + 15 Combine like terms: 3 + 15 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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