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Simplifying 7x + -35 + 3 = 6x + -42 Reorder the terms: -35 + 3 + 7x = 6x + -42 Combine like terms: -35 + 3 = -32 -32 + 7x = 6x + -42 Reorder the terms: -32 + 7x = -42 + 6x Solving -32 + 7x = -42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + 7x + -6x = -42 + 6x + -6x Combine like terms: 7x + -6x = 1x -32 + 1x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 1x = -42 + 0 -32 + 1x = -42 Add '32' to each side of the equation. -32 + 32 + 1x = -42 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = -42 + 32 1x = -42 + 32 Combine like terms: -42 + 32 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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