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Simplifying 6(x + 4) + 5x = 5(x + 5) + -7 Reorder the terms: 6(4 + x) + 5x = 5(x + 5) + -7 (4 * 6 + x * 6) + 5x = 5(x + 5) + -7 (24 + 6x) + 5x = 5(x + 5) + -7 Combine like terms: 6x + 5x = 11x 24 + 11x = 5(x + 5) + -7 Reorder the terms: 24 + 11x = 5(5 + x) + -7 24 + 11x = (5 * 5 + x * 5) + -7 24 + 11x = (25 + 5x) + -7 Reorder the terms: 24 + 11x = 25 + -7 + 5x Combine like terms: 25 + -7 = 18 24 + 11x = 18 + 5x Solving 24 + 11x = 18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 11x + -5x = 18 + 5x + -5x Combine like terms: 11x + -5x = 6x 24 + 6x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 6x = 18 + 0 24 + 6x = 18 Add '-24' to each side of the equation. 24 + -24 + 6x = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 18 + -24 6x = 18 + -24 Combine like terms: 18 + -24 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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