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Simplifying 6x + 36 = -8(5x + 7) Reorder the terms: 36 + 6x = -8(5x + 7) Reorder the terms: 36 + 6x = -8(7 + 5x) 36 + 6x = (7 * -8 + 5x * -8) 36 + 6x = (-56 + -40x) Solving 36 + 6x = -56 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 36 + 6x + 40x = -56 + -40x + 40x Combine like terms: 6x + 40x = 46x 36 + 46x = -56 + -40x + 40x Combine like terms: -40x + 40x = 0 36 + 46x = -56 + 0 36 + 46x = -56 Add '-36' to each side of the equation. 36 + -36 + 46x = -56 + -36 Combine like terms: 36 + -36 = 0 0 + 46x = -56 + -36 46x = -56 + -36 Combine like terms: -56 + -36 = -92 46x = -92 Divide each side by '46'. x = -2 Simplifying x = -2
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