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Simplifying -6x + -13(x + 6) = -3(6x + 6) Reorder the terms: -6x + -13(6 + x) = -3(6x + 6) -6x + (6 * -13 + x * -13) = -3(6x + 6) -6x + (-78 + -13x) = -3(6x + 6) Reorder the terms: -78 + -6x + -13x = -3(6x + 6) Combine like terms: -6x + -13x = -19x -78 + -19x = -3(6x + 6) Reorder the terms: -78 + -19x = -3(6 + 6x) -78 + -19x = (6 * -3 + 6x * -3) -78 + -19x = (-18 + -18x) Solving -78 + -19x = -18 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -78 + -19x + 18x = -18 + -18x + 18x Combine like terms: -19x + 18x = -1x -78 + -1x = -18 + -18x + 18x Combine like terms: -18x + 18x = 0 -78 + -1x = -18 + 0 -78 + -1x = -18 Add '78' to each side of the equation. -78 + 78 + -1x = -18 + 78 Combine like terms: -78 + 78 = 0 0 + -1x = -18 + 78 -1x = -18 + 78 Combine like terms: -18 + 78 = 60 -1x = 60 Divide each side by '-1'. x = -60 Simplifying x = -60
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