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Simplifying 3x + 13 = -47 + -7x Reorder the terms: 13 + 3x = -47 + -7x Solving 13 + 3x = -47 + -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. 13 + 3x + 7x = -47 + -7x + 7x Combine like terms: 3x + 7x = 10x 13 + 10x = -47 + -7x + 7x Combine like terms: -7x + 7x = 0 13 + 10x = -47 + 0 13 + 10x = -47 Add '-13' to each side of the equation. 13 + -13 + 10x = -47 + -13 Combine like terms: 13 + -13 = 0 0 + 10x = -47 + -13 10x = -47 + -13 Combine like terms: -47 + -13 = -60 10x = -60 Divide each side by '10'. x = -6 Simplifying x = -6
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