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Simplifying 5x + -1(2x + 9) = 4x + -2 Reorder the terms: 5x + -1(9 + 2x) = 4x + -2 5x + (9 * -1 + 2x * -1) = 4x + -2 5x + (-9 + -2x) = 4x + -2 Reorder the terms: -9 + 5x + -2x = 4x + -2 Combine like terms: 5x + -2x = 3x -9 + 3x = 4x + -2 Reorder the terms: -9 + 3x = -2 + 4x Solving -9 + 3x = -2 + 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. -9 + 3x + -4x = -2 + 4x + -4x Combine like terms: 3x + -4x = -1x -9 + -1x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -1x = -2 + 0 -9 + -1x = -2 Add '9' to each side of the equation. -9 + 9 + -1x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -2 + 9 -1x = -2 + 9 Combine like terms: -2 + 9 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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