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Simplifying -7(x + -7) + -5 = -3x + 12 Reorder the terms: -7(-7 + x) + -5 = -3x + 12 (-7 * -7 + x * -7) + -5 = -3x + 12 (49 + -7x) + -5 = -3x + 12 Reorder the terms: 49 + -5 + -7x = -3x + 12 Combine like terms: 49 + -5 = 44 44 + -7x = -3x + 12 Reorder the terms: 44 + -7x = 12 + -3x Solving 44 + -7x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 44 + -7x + 3x = 12 + -3x + 3x Combine like terms: -7x + 3x = -4x 44 + -4x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 44 + -4x = 12 + 0 44 + -4x = 12 Add '-44' to each side of the equation. 44 + -44 + -4x = 12 + -44 Combine like terms: 44 + -44 = 0 0 + -4x = 12 + -44 -4x = 12 + -44 Combine like terms: 12 + -44 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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