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Simplifying 100 + 4x + -35 = 7x + 42 + -5x Reorder the terms: 100 + -35 + 4x = 7x + 42 + -5x Combine like terms: 100 + -35 = 65 65 + 4x = 7x + 42 + -5x Reorder the terms: 65 + 4x = 42 + 7x + -5x Combine like terms: 7x + -5x = 2x 65 + 4x = 42 + 2x Solving 65 + 4x = 42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 65 + 4x + -2x = 42 + 2x + -2x Combine like terms: 4x + -2x = 2x 65 + 2x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 65 + 2x = 42 + 0 65 + 2x = 42 Add '-65' to each side of the equation. 65 + -65 + 2x = 42 + -65 Combine like terms: 65 + -65 = 0 0 + 2x = 42 + -65 2x = 42 + -65 Combine like terms: 42 + -65 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5
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