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Simplifying -7(-4x + 9) + -5x = 7(x + -9) + -6 Reorder the terms: -7(9 + -4x) + -5x = 7(x + -9) + -6 (9 * -7 + -4x * -7) + -5x = 7(x + -9) + -6 (-63 + 28x) + -5x = 7(x + -9) + -6 Combine like terms: 28x + -5x = 23x -63 + 23x = 7(x + -9) + -6 Reorder the terms: -63 + 23x = 7(-9 + x) + -6 -63 + 23x = (-9 * 7 + x * 7) + -6 -63 + 23x = (-63 + 7x) + -6 Reorder the terms: -63 + 23x = -63 + -6 + 7x Combine like terms: -63 + -6 = -69 -63 + 23x = -69 + 7x Solving -63 + 23x = -69 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -63 + 23x + -7x = -69 + 7x + -7x Combine like terms: 23x + -7x = 16x -63 + 16x = -69 + 7x + -7x Combine like terms: 7x + -7x = 0 -63 + 16x = -69 + 0 -63 + 16x = -69 Add '63' to each side of the equation. -63 + 63 + 16x = -69 + 63 Combine like terms: -63 + 63 = 0 0 + 16x = -69 + 63 16x = -69 + 63 Combine like terms: -69 + 63 = -6 16x = -6 Divide each side by '16'. x = -0.375 Simplifying x = -0.375
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