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Simplifying 2x + 20 + 3x + -4 = 46 + -4x + 33 Reorder the terms: 20 + -4 + 2x + 3x = 46 + -4x + 33 Combine like terms: 20 + -4 = 16 16 + 2x + 3x = 46 + -4x + 33 Combine like terms: 2x + 3x = 5x 16 + 5x = 46 + -4x + 33 Reorder the terms: 16 + 5x = 46 + 33 + -4x Combine like terms: 46 + 33 = 79 16 + 5x = 79 + -4x Solving 16 + 5x = 79 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 16 + 5x + 4x = 79 + -4x + 4x Combine like terms: 5x + 4x = 9x 16 + 9x = 79 + -4x + 4x Combine like terms: -4x + 4x = 0 16 + 9x = 79 + 0 16 + 9x = 79 Add '-16' to each side of the equation. 16 + -16 + 9x = 79 + -16 Combine like terms: 16 + -16 = 0 0 + 9x = 79 + -16 9x = 79 + -16 Combine like terms: 79 + -16 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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