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Simplifying 3x + 5 + 2x + -7 + 30x + 20 = 4x + 102 + 11x + 36 Reorder the terms: 5 + -7 + 20 + 3x + 2x + 30x = 4x + 102 + 11x + 36 Combine like terms: 5 + -7 = -2 -2 + 20 + 3x + 2x + 30x = 4x + 102 + 11x + 36 Combine like terms: -2 + 20 = 18 18 + 3x + 2x + 30x = 4x + 102 + 11x + 36 Combine like terms: 3x + 2x = 5x 18 + 5x + 30x = 4x + 102 + 11x + 36 Combine like terms: 5x + 30x = 35x 18 + 35x = 4x + 102 + 11x + 36 Reorder the terms: 18 + 35x = 102 + 36 + 4x + 11x Combine like terms: 102 + 36 = 138 18 + 35x = 138 + 4x + 11x Combine like terms: 4x + 11x = 15x 18 + 35x = 138 + 15x Solving 18 + 35x = 138 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + 35x + -15x = 138 + 15x + -15x Combine like terms: 35x + -15x = 20x 18 + 20x = 138 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + 20x = 138 + 0 18 + 20x = 138 Add '-18' to each side of the equation. 18 + -18 + 20x = 138 + -18 Combine like terms: 18 + -18 = 0 0 + 20x = 138 + -18 20x = 138 + -18 Combine like terms: 138 + -18 = 120 20x = 120 Divide each side by '20'. x = 6 Simplifying x = 6
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