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Simplifying 3x + 2(x + -1) = 9x + 10 Reorder the terms: 3x + 2(-1 + x) = 9x + 10 3x + (-1 * 2 + x * 2) = 9x + 10 3x + (-2 + 2x) = 9x + 10 Reorder the terms: -2 + 3x + 2x = 9x + 10 Combine like terms: 3x + 2x = 5x -2 + 5x = 9x + 10 Reorder the terms: -2 + 5x = 10 + 9x Solving -2 + 5x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 5x + -9x = 10 + 9x + -9x Combine like terms: 5x + -9x = -4x -2 + -4x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -4x = 10 + 0 -2 + -4x = 10 Add '2' to each side of the equation. -2 + 2 + -4x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 10 + 2 -4x = 10 + 2 Combine like terms: 10 + 2 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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