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Simplifying 36 = -5x + 7(x + 6) Reorder the terms: 36 = -5x + 7(6 + x) 36 = -5x + (6 * 7 + x * 7) 36 = -5x + (42 + 7x) Reorder the terms: 36 = 42 + -5x + 7x Combine like terms: -5x + 7x = 2x 36 = 42 + 2x Solving 36 = 42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 36 + -2x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + -2x = 42 + 0 36 + -2x = 42 Add '-36' to each side of the equation. 36 + -36 + -2x = 42 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = 42 + -36 -2x = 42 + -36 Combine like terms: 42 + -36 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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