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Simplifying (x + 32) * 3 + 5(x + 32) * 3 + (x + 32) + 1 = 0 Reorder the terms: (32 + x) * 3 + 5(x + 32) * 3 + (x + 32) + 1 = 0 Reorder the terms for easier multiplication: 3(32 + x) + 5(x + 32) * 3 + (x + 32) + 1 = 0 (32 * 3 + x * 3) + 5(x + 32) * 3 + (x + 32) + 1 = 0 (96 + 3x) + 5(x + 32) * 3 + (x + 32) + 1 = 0 Reorder the terms: 96 + 3x + 5(32 + x) * 3 + (x + 32) + 1 = 0 Reorder the terms for easier multiplication: 96 + 3x + 5 * 3(32 + x) + (x + 32) + 1 = 0 Multiply 5 * 3 96 + 3x + 15(32 + x) + (x + 32) + 1 = 0 96 + 3x + (32 * 15 + x * 15) + (x + 32) + 1 = 0 96 + 3x + (480 + 15x) + (x + 32) + 1 = 0 Reorder the terms: 96 + 3x + 480 + 15x + (32 + x) + 1 = 0 Remove parenthesis around (32 + x) 96 + 3x + 480 + 15x + 32 + x + 1 = 0 Reorder the terms: 96 + 480 + 32 + 1 + 3x + 15x + x = 0 Combine like terms: 96 + 480 = 576 576 + 32 + 1 + 3x + 15x + x = 0 Combine like terms: 576 + 32 = 608 608 + 1 + 3x + 15x + x = 0 Combine like terms: 608 + 1 = 609 609 + 3x + 15x + x = 0 Combine like terms: 3x + 15x = 18x 609 + 18x + x = 0 Combine like terms: 18x + x = 19x 609 + 19x = 0 Solving 609 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-609' to each side of the equation. 609 + -609 + 19x = 0 + -609 Combine like terms: 609 + -609 = 0 0 + 19x = 0 + -609 19x = 0 + -609 Combine like terms: 0 + -609 = -609 19x = -609 Divide each side by '19'. x = -32.05263158 Simplifying x = -32.05263158
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