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Simplifying -2x + -5(x + 6) = -2(3x + 9) Reorder the terms: -2x + -5(6 + x) = -2(3x + 9) -2x + (6 * -5 + x * -5) = -2(3x + 9) -2x + (-30 + -5x) = -2(3x + 9) Reorder the terms: -30 + -2x + -5x = -2(3x + 9) Combine like terms: -2x + -5x = -7x -30 + -7x = -2(3x + 9) Reorder the terms: -30 + -7x = -2(9 + 3x) -30 + -7x = (9 * -2 + 3x * -2) -30 + -7x = (-18 + -6x) Solving -30 + -7x = -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 + -7x + 6x = -18 + -6x + 6x Combine like terms: -7x + 6x = -1x -30 + -1x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + -1x = -18 + 0 -30 + -1x = -18 Add '30' to each side of the equation. -30 + 30 + -1x = -18 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = -18 + 30 -1x = -18 + 30 Combine like terms: -18 + 30 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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