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Simplifying -5(x + 2) + -6x = 18 + -7x Reorder the terms: -5(2 + x) + -6x = 18 + -7x (2 * -5 + x * -5) + -6x = 18 + -7x (-10 + -5x) + -6x = 18 + -7x Combine like terms: -5x + -6x = -11x -10 + -11x = 18 + -7x Solving -10 + -11x = 18 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + -11x + 7x = 18 + -7x + 7x Combine like terms: -11x + 7x = -4x -10 + -4x = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + -4x = 18 + 0 -10 + -4x = 18 Add '10' to each side of the equation. -10 + 10 + -4x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 18 + 10 -4x = 18 + 10 Combine like terms: 18 + 10 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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