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Simplifying 4x + 37 = 7x + -47 Reorder the terms: 37 + 4x = 7x + -47 Reorder the terms: 37 + 4x = -47 + 7x Solving 37 + 4x = -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. 37 + 4x + -7x = -47 + 7x + -7x Combine like terms: 4x + -7x = -3x 37 + -3x = -47 + 7x + -7x Combine like terms: 7x + -7x = 0 37 + -3x = -47 + 0 37 + -3x = -47 Add '-37' to each side of the equation. 37 + -37 + -3x = -47 + -37 Combine like terms: 37 + -37 = 0 0 + -3x = -47 + -37 -3x = -47 + -37 Combine like terms: -47 + -37 = -84 -3x = -84 Divide each side by '-3'. x = 28 Simplifying x = 28
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