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Simplifying 2x + 42 + -3x = -1 + -5x + 5 Reorder the terms: 42 + 2x + -3x = -1 + -5x + 5 Combine like terms: 2x + -3x = -1x 42 + -1x = -1 + -5x + 5 Reorder the terms: 42 + -1x = -1 + 5 + -5x Combine like terms: -1 + 5 = 4 42 + -1x = 4 + -5x Solving 42 + -1x = 4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 42 + -1x + 5x = 4 + -5x + 5x Combine like terms: -1x + 5x = 4x 42 + 4x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 42 + 4x = 4 + 0 42 + 4x = 4 Add '-42' to each side of the equation. 42 + -42 + 4x = 4 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = 4 + -42 4x = 4 + -42 Combine like terms: 4 + -42 = -38 4x = -38 Divide each side by '4'. x = -9.5 Simplifying x = -9.5
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