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Simplifying -18 = -5(x + -2) + 7(x + -6) Reorder the terms: -18 = -5(-2 + x) + 7(x + -6) -18 = (-2 * -5 + x * -5) + 7(x + -6) -18 = (10 + -5x) + 7(x + -6) Reorder the terms: -18 = 10 + -5x + 7(-6 + x) -18 = 10 + -5x + (-6 * 7 + x * 7) -18 = 10 + -5x + (-42 + 7x) Reorder the terms: -18 = 10 + -42 + -5x + 7x Combine like terms: 10 + -42 = -32 -18 = -32 + -5x + 7x Combine like terms: -5x + 7x = 2x -18 = -32 + 2x Solving -18 = -32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + -2x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + -2x = -32 + 0 -18 + -2x = -32 Add '18' to each side of the equation. -18 + 18 + -2x = -32 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = -32 + 18 -2x = -32 + 18 Combine like terms: -32 + 18 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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