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Simplifying 7x + 2(x + 3) = -1(2x + 6) + -1x Reorder the terms: 7x + 2(3 + x) = -1(2x + 6) + -1x 7x + (3 * 2 + x * 2) = -1(2x + 6) + -1x 7x + (6 + 2x) = -1(2x + 6) + -1x Reorder the terms: 6 + 7x + 2x = -1(2x + 6) + -1x Combine like terms: 7x + 2x = 9x 6 + 9x = -1(2x + 6) + -1x Reorder the terms: 6 + 9x = -1(6 + 2x) + -1x 6 + 9x = (6 * -1 + 2x * -1) + -1x 6 + 9x = (-6 + -2x) + -1x Combine like terms: -2x + -1x = -3x 6 + 9x = -6 + -3x Solving 6 + 9x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + 9x + 3x = -6 + -3x + 3x Combine like terms: 9x + 3x = 12x 6 + 12x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 12x = -6 + 0 6 + 12x = -6 Add '-6' to each side of the equation. 6 + -6 + 12x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = -6 + -6 12x = -6 + -6 Combine like terms: -6 + -6 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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