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Simplifying -5(x + 7) = 7 + 4(8x + 8) Reorder the terms: -5(7 + x) = 7 + 4(8x + 8) (7 * -5 + x * -5) = 7 + 4(8x + 8) (-35 + -5x) = 7 + 4(8x + 8) Reorder the terms: -35 + -5x = 7 + 4(8 + 8x) -35 + -5x = 7 + (8 * 4 + 8x * 4) -35 + -5x = 7 + (32 + 32x) Combine like terms: 7 + 32 = 39 -35 + -5x = 39 + 32x Solving -35 + -5x = 39 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -35 + -5x + -32x = 39 + 32x + -32x Combine like terms: -5x + -32x = -37x -35 + -37x = 39 + 32x + -32x Combine like terms: 32x + -32x = 0 -35 + -37x = 39 + 0 -35 + -37x = 39 Add '35' to each side of the equation. -35 + 35 + -37x = 39 + 35 Combine like terms: -35 + 35 = 0 0 + -37x = 39 + 35 -37x = 39 + 35 Combine like terms: 39 + 35 = 74 -37x = 74 Divide each side by '-37'. x = -2 Simplifying x = -2
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