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Simplifying x + 3(x + -1) = 9 + -2(x + 3) Reorder the terms: x + 3(-1 + x) = 9 + -2(x + 3) x + (-1 * 3 + x * 3) = 9 + -2(x + 3) x + (-3 + 3x) = 9 + -2(x + 3) Reorder the terms: -3 + x + 3x = 9 + -2(x + 3) Combine like terms: x + 3x = 4x -3 + 4x = 9 + -2(x + 3) Reorder the terms: -3 + 4x = 9 + -2(3 + x) -3 + 4x = 9 + (3 * -2 + x * -2) -3 + 4x = 9 + (-6 + -2x) Combine like terms: 9 + -6 = 3 -3 + 4x = 3 + -2x Solving -3 + 4x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 4x + 2x = 3 + -2x + 2x Combine like terms: 4x + 2x = 6x -3 + 6x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 6x = 3 + 0 -3 + 6x = 3 Add '3' to each side of the equation. -3 + 3 + 6x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 3 + 3 6x = 3 + 3 Combine like terms: 3 + 3 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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