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Simplifying -8(-4 + -7x) + 3(-8x + 3) = -4x + -5x (-4 * -8 + -7x * -8) + 3(-8x + 3) = -4x + -5x (32 + 56x) + 3(-8x + 3) = -4x + -5x Reorder the terms: 32 + 56x + 3(3 + -8x) = -4x + -5x 32 + 56x + (3 * 3 + -8x * 3) = -4x + -5x 32 + 56x + (9 + -24x) = -4x + -5x Reorder the terms: 32 + 9 + 56x + -24x = -4x + -5x Combine like terms: 32 + 9 = 41 41 + 56x + -24x = -4x + -5x Combine like terms: 56x + -24x = 32x 41 + 32x = -4x + -5x Combine like terms: -4x + -5x = -9x 41 + 32x = -9x Solving 41 + 32x = -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 41 + 32x + 9x = -9x + 9x Combine like terms: 32x + 9x = 41x 41 + 41x = -9x + 9x Combine like terms: -9x + 9x = 0 41 + 41x = 0 Add '-41' to each side of the equation. 41 + -41 + 41x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 41x = 0 + -41 41x = 0 + -41 Combine like terms: 0 + -41 = -41 41x = -41 Divide each side by '41'. x = -1 Simplifying x = -1
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