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Simplifying 3x + 6 = 3(x + -1) + -9x Reorder the terms: 6 + 3x = 3(x + -1) + -9x Reorder the terms: 6 + 3x = 3(-1 + x) + -9x 6 + 3x = (-1 * 3 + x * 3) + -9x 6 + 3x = (-3 + 3x) + -9x Combine like terms: 3x + -9x = -6x 6 + 3x = -3 + -6x Solving 6 + 3x = -3 + -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. 6 + 3x + 6x = -3 + -6x + 6x Combine like terms: 3x + 6x = 9x 6 + 9x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 9x = -3 + 0 6 + 9x = -3 Add '-6' to each side of the equation. 6 + -6 + 9x = -3 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = -3 + -6 9x = -3 + -6 Combine like terms: -3 + -6 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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