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Simplifying 4(x + 2) + 3(4 + x) + -4 = 7 Reorder the terms: 4(2 + x) + 3(4 + x) + -4 = 7 (2 * 4 + x * 4) + 3(4 + x) + -4 = 7 (8 + 4x) + 3(4 + x) + -4 = 7 8 + 4x + (4 * 3 + x * 3) + -4 = 7 8 + 4x + (12 + 3x) + -4 = 7 Reorder the terms: 8 + 12 + -4 + 4x + 3x = 7 Combine like terms: 8 + 12 = 20 20 + -4 + 4x + 3x = 7 Combine like terms: 20 + -4 = 16 16 + 4x + 3x = 7 Combine like terms: 4x + 3x = 7x 16 + 7x = 7 Solving 16 + 7x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7x = 7 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 7 + -16 7x = 7 + -16 Combine like terms: 7 + -16 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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