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Simplifying -5(x + 6) = -2(3x + 13) Reorder the terms: -5(6 + x) = -2(3x + 13) (6 * -5 + x * -5) = -2(3x + 13) (-30 + -5x) = -2(3x + 13) Reorder the terms: -30 + -5x = -2(13 + 3x) -30 + -5x = (13 * -2 + 3x * -2) -30 + -5x = (-26 + -6x) Solving -30 + -5x = -26 + -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 + -5x + 6x = -26 + -6x + 6x Combine like terms: -5x + 6x = 1x -30 + 1x = -26 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 1x = -26 + 0 -30 + 1x = -26 Add '30' to each side of the equation. -30 + 30 + 1x = -26 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = -26 + 30 1x = -26 + 30 Combine like terms: -26 + 30 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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