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Simplifying 7(x + 6) + 4(x + 6) = 7x + -7 Reorder the terms: 7(6 + x) + 4(x + 6) = 7x + -7 (6 * 7 + x * 7) + 4(x + 6) = 7x + -7 (42 + 7x) + 4(x + 6) = 7x + -7 Reorder the terms: 42 + 7x + 4(6 + x) = 7x + -7 42 + 7x + (6 * 4 + x * 4) = 7x + -7 42 + 7x + (24 + 4x) = 7x + -7 Reorder the terms: 42 + 24 + 7x + 4x = 7x + -7 Combine like terms: 42 + 24 = 66 66 + 7x + 4x = 7x + -7 Combine like terms: 7x + 4x = 11x 66 + 11x = 7x + -7 Reorder the terms: 66 + 11x = -7 + 7x Solving 66 + 11x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 66 + 11x + -7x = -7 + 7x + -7x Combine like terms: 11x + -7x = 4x 66 + 4x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 66 + 4x = -7 + 0 66 + 4x = -7 Add '-66' to each side of the equation. 66 + -66 + 4x = -7 + -66 Combine like terms: 66 + -66 = 0 0 + 4x = -7 + -66 4x = -7 + -66 Combine like terms: -7 + -66 = -73 4x = -73 Divide each side by '4'. x = -18.25 Simplifying x = -18.25
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