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Simplifying 7(x + 6) + 4(x + 6) = 6x + -6 Reorder the terms: 7(6 + x) + 4(x + 6) = 6x + -6 (6 * 7 + x * 7) + 4(x + 6) = 6x + -6 (42 + 7x) + 4(x + 6) = 6x + -6 Reorder the terms: 42 + 7x + 4(6 + x) = 6x + -6 42 + 7x + (6 * 4 + x * 4) = 6x + -6 42 + 7x + (24 + 4x) = 6x + -6 Reorder the terms: 42 + 24 + 7x + 4x = 6x + -6 Combine like terms: 42 + 24 = 66 66 + 7x + 4x = 6x + -6 Combine like terms: 7x + 4x = 11x 66 + 11x = 6x + -6 Reorder the terms: 66 + 11x = -6 + 6x Solving 66 + 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. 66 + 11x + -6x = -6 + 6x + -6x Combine like terms: 11x + -6x = 5x 66 + 5x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 66 + 5x = -6 + 0 66 + 5x = -6 Add '-66' to each side of the equation. 66 + -66 + 5x = -6 + -66 Combine like terms: 66 + -66 = 0 0 + 5x = -6 + -66 5x = -6 + -66 Combine like terms: -6 + -66 = -72 5x = -72 Divide each side by '5'. x = -14.4 Simplifying x = -14.4
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