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Simplifying 7 + -7x + -4 = -37 + 3x + -10 Reorder the terms: 7 + -4 + -7x = -37 + 3x + -10 Combine like terms: 7 + -4 = 3 3 + -7x = -37 + 3x + -10 Reorder the terms: 3 + -7x = -37 + -10 + 3x Combine like terms: -37 + -10 = -47 3 + -7x = -47 + 3x Solving 3 + -7x = -47 + 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. 3 + -7x + -3x = -47 + 3x + -3x Combine like terms: -7x + -3x = -10x 3 + -10x = -47 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -10x = -47 + 0 3 + -10x = -47 Add '-3' to each side of the equation. 3 + -3 + -10x = -47 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = -47 + -3 -10x = -47 + -3 Combine like terms: -47 + -3 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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