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Simplifying 7(x + 4) + 4(x + 4) = 7x + -7 Reorder the terms: 7(4 + x) + 4(x + 4) = 7x + -7 (4 * 7 + x * 7) + 4(x + 4) = 7x + -7 (28 + 7x) + 4(x + 4) = 7x + -7 Reorder the terms: 28 + 7x + 4(4 + x) = 7x + -7 28 + 7x + (4 * 4 + x * 4) = 7x + -7 28 + 7x + (16 + 4x) = 7x + -7 Reorder the terms: 28 + 16 + 7x + 4x = 7x + -7 Combine like terms: 28 + 16 = 44 44 + 7x + 4x = 7x + -7 Combine like terms: 7x + 4x = 11x 44 + 11x = 7x + -7 Reorder the terms: 44 + 11x = -7 + 7x Solving 44 + 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. 44 + 11x + -7x = -7 + 7x + -7x Combine like terms: 11x + -7x = 4x 44 + 4x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 44 + 4x = -7 + 0 44 + 4x = -7 Add '-44' to each side of the equation. 44 + -44 + 4x = -7 + -44 Combine like terms: 44 + -44 = 0 0 + 4x = -7 + -44 4x = -7 + -44 Combine like terms: -7 + -44 = -51 4x = -51 Divide each side by '4'. x = -12.75 Simplifying x = -12.75
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