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Simplifying -42 + 35 = 4x + -16 + 3x + 9 Combine like terms: -42 + 35 = -7 -7 = 4x + -16 + 3x + 9 Reorder the terms: -7 = -16 + 9 + 4x + 3x Combine like terms: -16 + 9 = -7 -7 = -7 + 4x + 3x Combine like terms: 4x + 3x = 7x -7 = -7 + 7x Add '7' to each side of the equation. -7 + 7 = -7 + 7 + 7x Combine like terms: -7 + 7 = 0 0 = -7 + 7 + 7x Combine like terms: -7 + 7 = 0 0 = 0 + 7x 0 = 7x Solving 0 = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 0 + -7x = 7x + -7x Remove the zero: -7x = 7x + -7x Combine like terms: 7x + -7x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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