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Simplifying -8x + 6(-2x + -7) = -53 + -9x Reorder the terms: -8x + 6(-7 + -2x) = -53 + -9x -8x + (-7 * 6 + -2x * 6) = -53 + -9x -8x + (-42 + -12x) = -53 + -9x Reorder the terms: -42 + -8x + -12x = -53 + -9x Combine like terms: -8x + -12x = -20x -42 + -20x = -53 + -9x Solving -42 + -20x = -53 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -42 + -20x + 9x = -53 + -9x + 9x Combine like terms: -20x + 9x = -11x -42 + -11x = -53 + -9x + 9x Combine like terms: -9x + 9x = 0 -42 + -11x = -53 + 0 -42 + -11x = -53 Add '42' to each side of the equation. -42 + 42 + -11x = -53 + 42 Combine like terms: -42 + 42 = 0 0 + -11x = -53 + 42 -11x = -53 + 42 Combine like terms: -53 + 42 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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