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Simplifying 6(x + 1) = -3(2x + 7) Reorder the terms: 6(1 + x) = -3(2x + 7) (1 * 6 + x * 6) = -3(2x + 7) (6 + 6x) = -3(2x + 7) Reorder the terms: 6 + 6x = -3(7 + 2x) 6 + 6x = (7 * -3 + 2x * -3) 6 + 6x = (-21 + -6x) Solving 6 + 6x = -21 + -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 + 6x + 6x = -21 + -6x + 6x Combine like terms: 6x + 6x = 12x 6 + 12x = -21 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 12x = -21 + 0 6 + 12x = -21 Add '-6' to each side of the equation. 6 + -6 + 12x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = -21 + -6 12x = -21 + -6 Combine like terms: -21 + -6 = -27 12x = -27 Divide each side by '12'. x = -2.25 Simplifying x = -2.25
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