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Simplifying 3x + 2(x + -1) = 6x + -9 Reorder the terms: 3x + 2(-1 + x) = 6x + -9 3x + (-1 * 2 + x * 2) = 6x + -9 3x + (-2 + 2x) = 6x + -9 Reorder the terms: -2 + 3x + 2x = 6x + -9 Combine like terms: 3x + 2x = 5x -2 + 5x = 6x + -9 Reorder the terms: -2 + 5x = -9 + 6x Solving -2 + 5x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 5x + -6x = -9 + 6x + -6x Combine like terms: 5x + -6x = -1x -2 + -1x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -1x = -9 + 0 -2 + -1x = -9 Add '2' to each side of the equation. -2 + 2 + -1x = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -9 + 2 -1x = -9 + 2 Combine like terms: -9 + 2 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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