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Simplifying -4(-7x + 6) + -3(3x + 7) = -64 Reorder the terms: -4(6 + -7x) + -3(3x + 7) = -64 (6 * -4 + -7x * -4) + -3(3x + 7) = -64 (-24 + 28x) + -3(3x + 7) = -64 Reorder the terms: -24 + 28x + -3(7 + 3x) = -64 -24 + 28x + (7 * -3 + 3x * -3) = -64 -24 + 28x + (-21 + -9x) = -64 Reorder the terms: -24 + -21 + 28x + -9x = -64 Combine like terms: -24 + -21 = -45 -45 + 28x + -9x = -64 Combine like terms: 28x + -9x = 19x -45 + 19x = -64 Solving -45 + 19x = -64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 19x = -64 + 45 Combine like terms: -45 + 45 = 0 0 + 19x = -64 + 45 19x = -64 + 45 Combine like terms: -64 + 45 = -19 19x = -19 Divide each side by '19'. x = -1 Simplifying x = -1
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