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Simplifying 7(x + 5) + 4(x + 5) = 6x + -6 Reorder the terms: 7(5 + x) + 4(x + 5) = 6x + -6 (5 * 7 + x * 7) + 4(x + 5) = 6x + -6 (35 + 7x) + 4(x + 5) = 6x + -6 Reorder the terms: 35 + 7x + 4(5 + x) = 6x + -6 35 + 7x + (5 * 4 + x * 4) = 6x + -6 35 + 7x + (20 + 4x) = 6x + -6 Reorder the terms: 35 + 20 + 7x + 4x = 6x + -6 Combine like terms: 35 + 20 = 55 55 + 7x + 4x = 6x + -6 Combine like terms: 7x + 4x = 11x 55 + 11x = 6x + -6 Reorder the terms: 55 + 11x = -6 + 6x Solving 55 + 11x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 55 + 11x + -6x = -6 + 6x + -6x Combine like terms: 11x + -6x = 5x 55 + 5x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 55 + 5x = -6 + 0 55 + 5x = -6 Add '-55' to each side of the equation. 55 + -55 + 5x = -6 + -55 Combine like terms: 55 + -55 = 0 0 + 5x = -6 + -55 5x = -6 + -55 Combine like terms: -6 + -55 = -61 5x = -61 Divide each side by '5'. x = -12.2 Simplifying x = -12.2
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