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Simplifying 5x + 7(7 + -8x) = 8x + -4(8x + 8) 5x + (7 * 7 + -8x * 7) = 8x + -4(8x + 8) 5x + (49 + -56x) = 8x + -4(8x + 8) Reorder the terms: 49 + 5x + -56x = 8x + -4(8x + 8) Combine like terms: 5x + -56x = -51x 49 + -51x = 8x + -4(8x + 8) Reorder the terms: 49 + -51x = 8x + -4(8 + 8x) 49 + -51x = 8x + (8 * -4 + 8x * -4) 49 + -51x = 8x + (-32 + -32x) Reorder the terms: 49 + -51x = -32 + 8x + -32x Combine like terms: 8x + -32x = -24x 49 + -51x = -32 + -24x Solving 49 + -51x = -32 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 49 + -51x + 24x = -32 + -24x + 24x Combine like terms: -51x + 24x = -27x 49 + -27x = -32 + -24x + 24x Combine like terms: -24x + 24x = 0 49 + -27x = -32 + 0 49 + -27x = -32 Add '-49' to each side of the equation. 49 + -49 + -27x = -32 + -49 Combine like terms: 49 + -49 = 0 0 + -27x = -32 + -49 -27x = -32 + -49 Combine like terms: -32 + -49 = -81 -27x = -81 Divide each side by '-27'. x = 3 Simplifying x = 3
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