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Simplifying 6(x + -5) = -6(x + 3) Reorder the terms: 6(-5 + x) = -6(x + 3) (-5 * 6 + x * 6) = -6(x + 3) (-30 + 6x) = -6(x + 3) Reorder the terms: -30 + 6x = -6(3 + x) -30 + 6x = (3 * -6 + x * -6) -30 + 6x = (-18 + -6x) Solving -30 + 6x = -18 + -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. -30 + 6x + 6x = -18 + -6x + 6x Combine like terms: 6x + 6x = 12x -30 + 12x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 12x = -18 + 0 -30 + 12x = -18 Add '30' to each side of the equation. -30 + 30 + 12x = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = -18 + 30 12x = -18 + 30 Combine like terms: -18 + 30 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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