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Simplifying 5x + 1 + -4x = -1(x + 9) Reorder the terms: 1 + 5x + -4x = -1(x + 9) Combine like terms: 5x + -4x = 1x 1 + 1x = -1(x + 9) Reorder the terms: 1 + 1x = -1(9 + x) 1 + 1x = (9 * -1 + x * -1) 1 + 1x = (-9 + -1x) Solving 1 + 1x = -9 + -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. 1 + 1x + x = -9 + -1x + x Combine like terms: 1x + x = 2x 1 + 2x = -9 + -1x + x Combine like terms: -1x + x = 0 1 + 2x = -9 + 0 1 + 2x = -9 Add '-1' to each side of the equation. 1 + -1 + 2x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -9 + -1 2x = -9 + -1 Combine like terms: -9 + -1 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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