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Simplifying 5x + -1(9x + 2) = 4x + -10 Reorder the terms: 5x + -1(2 + 9x) = 4x + -10 5x + (2 * -1 + 9x * -1) = 4x + -10 5x + (-2 + -9x) = 4x + -10 Reorder the terms: -2 + 5x + -9x = 4x + -10 Combine like terms: 5x + -9x = -4x -2 + -4x = 4x + -10 Reorder the terms: -2 + -4x = -10 + 4x Solving -2 + -4x = -10 + 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. -2 + -4x + -4x = -10 + 4x + -4x Combine like terms: -4x + -4x = -8x -2 + -8x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -8x = -10 + 0 -2 + -8x = -10 Add '2' to each side of the equation. -2 + 2 + -8x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -10 + 2 -8x = -10 + 2 Combine like terms: -10 + 2 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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