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Simplifying (3x * 3 + 5x * 6 + -3) + (7 * 6 + x * 2 + -5 + 4x * 3) = 0 Reorder the terms for easier multiplication: (3 * 3x + 5x * 6 + -3) + (7 * 6 + x * 2 + -5 + 4x * 3) = 0 Multiply 3 * 3 (9x + 5x * 6 + -3) + (7 * 6 + x * 2 + -5 + 4x * 3) = 0 Reorder the terms for easier multiplication: (9x + 5 * 6x + -3) + (7 * 6 + x * 2 + -5 + 4x * 3) = 0 Multiply 5 * 6 (9x + 30x + -3) + (7 * 6 + x * 2 + -5 + 4x * 3) = 0 Reorder the terms: (-3 + 9x + 30x) + (7 * 6 + x * 2 + -5 + 4x * 3) = 0 Combine like terms: 9x + 30x = 39x (-3 + 39x) + (7 * 6 + x * 2 + -5 + 4x * 3) = 0 Remove parenthesis around (-3 + 39x) -3 + 39x + (7 * 6 + x * 2 + -5 + 4x * 3) = 0 Multiply 7 * 6 -3 + 39x + (42 + x * 2 + -5 + 4x * 3) = 0 Reorder the terms for easier multiplication: -3 + 39x + (42 + 2x + -5 + 4x * 3) = 0 Reorder the terms for easier multiplication: -3 + 39x + (42 + 2x + -5 + 4 * 3x) = 0 Multiply 4 * 3 -3 + 39x + (42 + 2x + -5 + 12x) = 0 Reorder the terms: -3 + 39x + (42 + -5 + 2x + 12x) = 0 Combine like terms: 42 + -5 = 37 -3 + 39x + (37 + 2x + 12x) = 0 Combine like terms: 2x + 12x = 14x -3 + 39x + (37 + 14x) = 0 Remove parenthesis around (37 + 14x) -3 + 39x + 37 + 14x = 0 Reorder the terms: -3 + 37 + 39x + 14x = 0 Combine like terms: -3 + 37 = 34 34 + 39x + 14x = 0 Combine like terms: 39x + 14x = 53x 34 + 53x = 0 Solving 34 + 53x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 53x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 53x = 0 + -34 53x = 0 + -34 Combine like terms: 0 + -34 = -34 53x = -34 Divide each side by '53'. x = -0.641509434 Simplifying x = -0.641509434
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