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Simplifying 5x + -1(3x + 2) = x + -10 Reorder the terms: 5x + -1(2 + 3x) = x + -10 5x + (2 * -1 + 3x * -1) = x + -10 5x + (-2 + -3x) = x + -10 Reorder the terms: -2 + 5x + -3x = x + -10 Combine like terms: 5x + -3x = 2x -2 + 2x = x + -10 Reorder the terms: -2 + 2x = -10 + x Solving -2 + 2x = -10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 2x + -1x = -10 + x + -1x Combine like terms: 2x + -1x = 1x -2 + 1x = -10 + x + -1x Combine like terms: x + -1x = 0 -2 + 1x = -10 + 0 -2 + 1x = -10 Add '2' to each side of the equation. -2 + 2 + 1x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -10 + 2 1x = -10 + 2 Combine like terms: -10 + 2 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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