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Simplifying -7(x + -6) + -8 = -5x + 40 Reorder the terms: -7(-6 + x) + -8 = -5x + 40 (-6 * -7 + x * -7) + -8 = -5x + 40 (42 + -7x) + -8 = -5x + 40 Reorder the terms: 42 + -8 + -7x = -5x + 40 Combine like terms: 42 + -8 = 34 34 + -7x = -5x + 40 Reorder the terms: 34 + -7x = 40 + -5x Solving 34 + -7x = 40 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 34 + -7x + 5x = 40 + -5x + 5x Combine like terms: -7x + 5x = -2x 34 + -2x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 34 + -2x = 40 + 0 34 + -2x = 40 Add '-34' to each side of the equation. 34 + -34 + -2x = 40 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 40 + -34 -2x = 40 + -34 Combine like terms: 40 + -34 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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