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Simplifying 2(x + 3) = -4(x + 1) Reorder the terms: 2(3 + x) = -4(x + 1) (3 * 2 + x * 2) = -4(x + 1) (6 + 2x) = -4(x + 1) Reorder the terms: 6 + 2x = -4(1 + x) 6 + 2x = (1 * -4 + x * -4) 6 + 2x = (-4 + -4x) Solving 6 + 2x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 2x + 4x = -4 + -4x + 4x Combine like terms: 2x + 4x = 6x 6 + 6x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 6x = -4 + 0 6 + 6x = -4 Add '-6' to each side of the equation. 6 + -6 + 6x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -4 + -6 6x = -4 + -6 Combine like terms: -4 + -6 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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