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Simplifying -5x + -6(x + 7) = -2(5x + 6) Reorder the terms: -5x + -6(7 + x) = -2(5x + 6) -5x + (7 * -6 + x * -6) = -2(5x + 6) -5x + (-42 + -6x) = -2(5x + 6) Reorder the terms: -42 + -5x + -6x = -2(5x + 6) Combine like terms: -5x + -6x = -11x -42 + -11x = -2(5x + 6) Reorder the terms: -42 + -11x = -2(6 + 5x) -42 + -11x = (6 * -2 + 5x * -2) -42 + -11x = (-12 + -10x) Solving -42 + -11x = -12 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -42 + -11x + 10x = -12 + -10x + 10x Combine like terms: -11x + 10x = -1x -42 + -1x = -12 + -10x + 10x Combine like terms: -10x + 10x = 0 -42 + -1x = -12 + 0 -42 + -1x = -12 Add '42' to each side of the equation. -42 + 42 + -1x = -12 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = -12 + 42 -1x = -12 + 42 Combine like terms: -12 + 42 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30
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