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Simplifying -6x + -5(-4 + 7x) = -8x + -13 -6x + (-4 * -5 + 7x * -5) = -8x + -13 -6x + (20 + -35x) = -8x + -13 Reorder the terms: 20 + -6x + -35x = -8x + -13 Combine like terms: -6x + -35x = -41x 20 + -41x = -8x + -13 Reorder the terms: 20 + -41x = -13 + -8x Solving 20 + -41x = -13 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 20 + -41x + 8x = -13 + -8x + 8x Combine like terms: -41x + 8x = -33x 20 + -33x = -13 + -8x + 8x Combine like terms: -8x + 8x = 0 20 + -33x = -13 + 0 20 + -33x = -13 Add '-20' to each side of the equation. 20 + -20 + -33x = -13 + -20 Combine like terms: 20 + -20 = 0 0 + -33x = -13 + -20 -33x = -13 + -20 Combine like terms: -13 + -20 = -33 -33x = -33 Divide each side by '-33'. x = 1 Simplifying x = 1
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