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Simplifying 7 + -7x + -2 = -42 + 3x + -13 Reorder the terms: 7 + -2 + -7x = -42 + 3x + -13 Combine like terms: 7 + -2 = 5 5 + -7x = -42 + 3x + -13 Reorder the terms: 5 + -7x = -42 + -13 + 3x Combine like terms: -42 + -13 = -55 5 + -7x = -55 + 3x Solving 5 + -7x = -55 + 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. 5 + -7x + -3x = -55 + 3x + -3x Combine like terms: -7x + -3x = -10x 5 + -10x = -55 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -10x = -55 + 0 5 + -10x = -55 Add '-5' to each side of the equation. 5 + -5 + -10x = -55 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = -55 + -5 -10x = -55 + -5 Combine like terms: -55 + -5 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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