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Simplifying -9(x + 2) + 2x + 6 = 6x + 12 Reorder the terms: -9(2 + x) + 2x + 6 = 6x + 12 (2 * -9 + x * -9) + 2x + 6 = 6x + 12 (-18 + -9x) + 2x + 6 = 6x + 12 Reorder the terms: -18 + 6 + -9x + 2x = 6x + 12 Combine like terms: -18 + 6 = -12 -12 + -9x + 2x = 6x + 12 Combine like terms: -9x + 2x = -7x -12 + -7x = 6x + 12 Reorder the terms: -12 + -7x = 12 + 6x Solving -12 + -7x = 12 + 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. -12 + -7x + -6x = 12 + 6x + -6x Combine like terms: -7x + -6x = -13x -12 + -13x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -13x = 12 + 0 -12 + -13x = 12 Add '12' to each side of the equation. -12 + 12 + -13x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -13x = 12 + 12 -13x = 12 + 12 Combine like terms: 12 + 12 = 24 -13x = 24 Divide each side by '-13'. x = -1.846153846 Simplifying x = -1.846153846
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