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Simplifying -1(5 + -4x) + -5(x + -7) = -7x + -7 + x + 7 (5 * -1 + -4x * -1) + -5(x + -7) = -7x + -7 + x + 7 (-5 + 4x) + -5(x + -7) = -7x + -7 + x + 7 Reorder the terms: -5 + 4x + -5(-7 + x) = -7x + -7 + x + 7 -5 + 4x + (-7 * -5 + x * -5) = -7x + -7 + x + 7 -5 + 4x + (35 + -5x) = -7x + -7 + x + 7 Reorder the terms: -5 + 35 + 4x + -5x = -7x + -7 + x + 7 Combine like terms: -5 + 35 = 30 30 + 4x + -5x = -7x + -7 + x + 7 Combine like terms: 4x + -5x = -1x 30 + -1x = -7x + -7 + x + 7 Reorder the terms: 30 + -1x = -7 + 7 + -7x + x Combine like terms: -7 + 7 = 0 30 + -1x = 0 + -7x + x 30 + -1x = -7x + x Combine like terms: -7x + x = -6x 30 + -1x = -6x Solving 30 + -1x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 30 + -1x + 6x = -6x + 6x Combine like terms: -1x + 6x = 5x 30 + 5x = -6x + 6x Combine like terms: -6x + 6x = 0 30 + 5x = 0 Add '-30' to each side of the equation. 30 + -30 + 5x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 0 + -30 5x = 0 + -30 Combine like terms: 0 + -30 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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