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Simplifying 4 + 7(x + 4) = 2(x + 4) + x Reorder the terms: 4 + 7(4 + x) = 2(x + 4) + x 4 + (4 * 7 + x * 7) = 2(x + 4) + x 4 + (28 + 7x) = 2(x + 4) + x Combine like terms: 4 + 28 = 32 32 + 7x = 2(x + 4) + x Reorder the terms: 32 + 7x = 2(4 + x) + x 32 + 7x = (4 * 2 + x * 2) + x 32 + 7x = (8 + 2x) + x Combine like terms: 2x + x = 3x 32 + 7x = 8 + 3x Solving 32 + 7x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 32 + 7x + -3x = 8 + 3x + -3x Combine like terms: 7x + -3x = 4x 32 + 4x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + 4x = 8 + 0 32 + 4x = 8 Add '-32' to each side of the equation. 32 + -32 + 4x = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 8 + -32 4x = 8 + -32 Combine like terms: 8 + -32 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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