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Simplifying 4(x + 8) + x = 3(x + 3) + 4 Reorder the terms: 4(8 + x) + x = 3(x + 3) + 4 (8 * 4 + x * 4) + x = 3(x + 3) + 4 (32 + 4x) + x = 3(x + 3) + 4 Combine like terms: 4x + x = 5x 32 + 5x = 3(x + 3) + 4 Reorder the terms: 32 + 5x = 3(3 + x) + 4 32 + 5x = (3 * 3 + x * 3) + 4 32 + 5x = (9 + 3x) + 4 Reorder the terms: 32 + 5x = 9 + 4 + 3x Combine like terms: 9 + 4 = 13 32 + 5x = 13 + 3x Solving 32 + 5x = 13 + 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 + 5x + -3x = 13 + 3x + -3x Combine like terms: 5x + -3x = 2x 32 + 2x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + 2x = 13 + 0 32 + 2x = 13 Add '-32' to each side of the equation. 32 + -32 + 2x = 13 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = 13 + -32 2x = 13 + -32 Combine like terms: 13 + -32 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5
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