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Simplifying 5 + -6(2x + -8) = 13 + -7x Reorder the terms: 5 + -6(-8 + 2x) = 13 + -7x 5 + (-8 * -6 + 2x * -6) = 13 + -7x 5 + (48 + -12x) = 13 + -7x Combine like terms: 5 + 48 = 53 53 + -12x = 13 + -7x Solving 53 + -12x = 13 + -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. 53 + -12x + 7x = 13 + -7x + 7x Combine like terms: -12x + 7x = -5x 53 + -5x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 53 + -5x = 13 + 0 53 + -5x = 13 Add '-53' to each side of the equation. 53 + -53 + -5x = 13 + -53 Combine like terms: 53 + -53 = 0 0 + -5x = 13 + -53 -5x = 13 + -53 Combine like terms: 13 + -53 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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