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Simplifying -6(x + 3) + 3x + 7 = 6x + 6 Reorder the terms: -6(3 + x) + 3x + 7 = 6x + 6 (3 * -6 + x * -6) + 3x + 7 = 6x + 6 (-18 + -6x) + 3x + 7 = 6x + 6 Reorder the terms: -18 + 7 + -6x + 3x = 6x + 6 Combine like terms: -18 + 7 = -11 -11 + -6x + 3x = 6x + 6 Combine like terms: -6x + 3x = -3x -11 + -3x = 6x + 6 Reorder the terms: -11 + -3x = 6 + 6x Solving -11 + -3x = 6 + 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. -11 + -3x + -6x = 6 + 6x + -6x Combine like terms: -3x + -6x = -9x -11 + -9x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + -9x = 6 + 0 -11 + -9x = 6 Add '11' to each side of the equation. -11 + 11 + -9x = 6 + 11 Combine like terms: -11 + 11 = 0 0 + -9x = 6 + 11 -9x = 6 + 11 Combine like terms: 6 + 11 = 17 -9x = 17 Divide each side by '-9'. x = -1.888888889 Simplifying x = -1.888888889
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