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Simplifying 5(x + 7) + -1(4x + 7) = -7 Reorder the terms: 5(7 + x) + -1(4x + 7) = -7 (7 * 5 + x * 5) + -1(4x + 7) = -7 (35 + 5x) + -1(4x + 7) = -7 Reorder the terms: 35 + 5x + -1(7 + 4x) = -7 35 + 5x + (7 * -1 + 4x * -1) = -7 35 + 5x + (-7 + -4x) = -7 Reorder the terms: 35 + -7 + 5x + -4x = -7 Combine like terms: 35 + -7 = 28 28 + 5x + -4x = -7 Combine like terms: 5x + -4x = 1x 28 + 1x = -7 Solving 28 + 1x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 1x = -7 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = -7 + -28 1x = -7 + -28 Combine like terms: -7 + -28 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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