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Simplifying 5x + -7x + 42 = 4x + 36 Reorder the terms: 42 + 5x + -7x = 4x + 36 Combine like terms: 5x + -7x = -2x 42 + -2x = 4x + 36 Reorder the terms: 42 + -2x = 36 + 4x Solving 42 + -2x = 36 + 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. 42 + -2x + -4x = 36 + 4x + -4x Combine like terms: -2x + -4x = -6x 42 + -6x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + -6x = 36 + 0 42 + -6x = 36 Add '-42' to each side of the equation. 42 + -42 + -6x = 36 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = 36 + -42 -6x = 36 + -42 Combine like terms: 36 + -42 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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