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Simplifying 7 + -7x + -3 = -42 + 3x + -14 Reorder the terms: 7 + -3 + -7x = -42 + 3x + -14 Combine like terms: 7 + -3 = 4 4 + -7x = -42 + 3x + -14 Reorder the terms: 4 + -7x = -42 + -14 + 3x Combine like terms: -42 + -14 = -56 4 + -7x = -56 + 3x Solving 4 + -7x = -56 + 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. 4 + -7x + -3x = -56 + 3x + -3x Combine like terms: -7x + -3x = -10x 4 + -10x = -56 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -10x = -56 + 0 4 + -10x = -56 Add '-4' to each side of the equation. 4 + -4 + -10x = -56 + -4 Combine like terms: 4 + -4 = 0 0 + -10x = -56 + -4 -10x = -56 + -4 Combine like terms: -56 + -4 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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