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Simplifying 4x + -5 + 15 + 32 = 33 + 3x + 23 Reorder the terms: -5 + 15 + 32 + 4x = 33 + 3x + 23 Combine like terms: -5 + 15 = 10 10 + 32 + 4x = 33 + 3x + 23 Combine like terms: 10 + 32 = 42 42 + 4x = 33 + 3x + 23 Reorder the terms: 42 + 4x = 33 + 23 + 3x Combine like terms: 33 + 23 = 56 42 + 4x = 56 + 3x Solving 42 + 4x = 56 + 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. 42 + 4x + -3x = 56 + 3x + -3x Combine like terms: 4x + -3x = 1x 42 + 1x = 56 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 1x = 56 + 0 42 + 1x = 56 Add '-42' to each side of the equation. 42 + -42 + 1x = 56 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 56 + -42 1x = 56 + -42 Combine like terms: 56 + -42 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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