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Simplifying 3x + 37 = 10x + -47 Reorder the terms: 37 + 3x = 10x + -47 Reorder the terms: 37 + 3x = -47 + 10x Solving 37 + 3x = -47 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 37 + 3x + -10x = -47 + 10x + -10x Combine like terms: 3x + -10x = -7x 37 + -7x = -47 + 10x + -10x Combine like terms: 10x + -10x = 0 37 + -7x = -47 + 0 37 + -7x = -47 Add '-37' to each side of the equation. 37 + -37 + -7x = -47 + -37 Combine like terms: 37 + -37 = 0 0 + -7x = -47 + -37 -7x = -47 + -37 Combine like terms: -47 + -37 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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