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Simplifying 6 + 2(x + -9) = 6(2x + 3) + -5x Reorder the terms: 6 + 2(-9 + x) = 6(2x + 3) + -5x 6 + (-9 * 2 + x * 2) = 6(2x + 3) + -5x 6 + (-18 + 2x) = 6(2x + 3) + -5x Combine like terms: 6 + -18 = -12 -12 + 2x = 6(2x + 3) + -5x Reorder the terms: -12 + 2x = 6(3 + 2x) + -5x -12 + 2x = (3 * 6 + 2x * 6) + -5x -12 + 2x = (18 + 12x) + -5x Combine like terms: 12x + -5x = 7x -12 + 2x = 18 + 7x Solving -12 + 2x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 2x + -7x = 18 + 7x + -7x Combine like terms: 2x + -7x = -5x -12 + -5x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -5x = 18 + 0 -12 + -5x = 18 Add '12' to each side of the equation. -12 + 12 + -5x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 18 + 12 -5x = 18 + 12 Combine like terms: 18 + 12 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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