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Simplifying -4(8x + -8) + 7x = -10 + -4x Reorder the terms: -4(-8 + 8x) + 7x = -10 + -4x (-8 * -4 + 8x * -4) + 7x = -10 + -4x (32 + -32x) + 7x = -10 + -4x Combine like terms: -32x + 7x = -25x 32 + -25x = -10 + -4x Solving 32 + -25x = -10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 32 + -25x + 4x = -10 + -4x + 4x Combine like terms: -25x + 4x = -21x 32 + -21x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 32 + -21x = -10 + 0 32 + -21x = -10 Add '-32' to each side of the equation. 32 + -32 + -21x = -10 + -32 Combine like terms: 32 + -32 = 0 0 + -21x = -10 + -32 -21x = -10 + -32 Combine like terms: -10 + -32 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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