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Simplifying 4(7x + -8) + 9(-2x + -7) = 8x + -97 Reorder the terms: 4(-8 + 7x) + 9(-2x + -7) = 8x + -97 (-8 * 4 + 7x * 4) + 9(-2x + -7) = 8x + -97 (-32 + 28x) + 9(-2x + -7) = 8x + -97 Reorder the terms: -32 + 28x + 9(-7 + -2x) = 8x + -97 -32 + 28x + (-7 * 9 + -2x * 9) = 8x + -97 -32 + 28x + (-63 + -18x) = 8x + -97 Reorder the terms: -32 + -63 + 28x + -18x = 8x + -97 Combine like terms: -32 + -63 = -95 -95 + 28x + -18x = 8x + -97 Combine like terms: 28x + -18x = 10x -95 + 10x = 8x + -97 Reorder the terms: -95 + 10x = -97 + 8x Solving -95 + 10x = -97 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -95 + 10x + -8x = -97 + 8x + -8x Combine like terms: 10x + -8x = 2x -95 + 2x = -97 + 8x + -8x Combine like terms: 8x + -8x = 0 -95 + 2x = -97 + 0 -95 + 2x = -97 Add '95' to each side of the equation. -95 + 95 + 2x = -97 + 95 Combine like terms: -95 + 95 = 0 0 + 2x = -97 + 95 2x = -97 + 95 Combine like terms: -97 + 95 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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