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Simplifying 5x + -1(3x + 1) = 4x + -9 Reorder the terms: 5x + -1(1 + 3x) = 4x + -9 5x + (1 * -1 + 3x * -1) = 4x + -9 5x + (-1 + -3x) = 4x + -9 Reorder the terms: -1 + 5x + -3x = 4x + -9 Combine like terms: 5x + -3x = 2x -1 + 2x = 4x + -9 Reorder the terms: -1 + 2x = -9 + 4x Solving -1 + 2x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 2x + -4x = -9 + 4x + -4x Combine like terms: 2x + -4x = -2x -1 + -2x = -9 + 4x + -4x Combine like terms: 4x + -4x = 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 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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