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Simplifying 5(x + 5) + -4(x + 4) = -1x + -1 Reorder the terms: 5(5 + x) + -4(x + 4) = -1x + -1 (5 * 5 + x * 5) + -4(x + 4) = -1x + -1 (25 + 5x) + -4(x + 4) = -1x + -1 Reorder the terms: 25 + 5x + -4(4 + x) = -1x + -1 25 + 5x + (4 * -4 + x * -4) = -1x + -1 25 + 5x + (-16 + -4x) = -1x + -1 Reorder the terms: 25 + -16 + 5x + -4x = -1x + -1 Combine like terms: 25 + -16 = 9 9 + 5x + -4x = -1x + -1 Combine like terms: 5x + -4x = 1x 9 + 1x = -1x + -1 Reorder the terms: 9 + 1x = -1 + -1x Solving 9 + 1x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + 1x + x = -1 + -1x + x Combine like terms: 1x + x = 2x 9 + 2x = -1 + -1x + x Combine like terms: -1x + x = 0 9 + 2x = -1 + 0 9 + 2x = -1 Add '-9' to each side of the equation. 9 + -9 + 2x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = -1 + -9 2x = -1 + -9 Combine like terms: -1 + -9 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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