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Simplifying 4x + -8x + 42 = 3x + 35 Reorder the terms: 42 + 4x + -8x = 3x + 35 Combine like terms: 4x + -8x = -4x 42 + -4x = 3x + 35 Reorder the terms: 42 + -4x = 35 + 3x Solving 42 + -4x = 35 + 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 = 35 + 3x + -3x Combine like terms: -4x + -3x = -7x 42 + -7x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -7x = 35 + 0 42 + -7x = 35 Add '-42' to each side of the equation. 42 + -42 + -7x = 35 + -42 Combine like terms: 42 + -42 = 0 0 + -7x = 35 + -42 -7x = 35 + -42 Combine like terms: 35 + -42 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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