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Simplifying 3x + 10 = 10x + -47 Reorder the terms: 10 + 3x = 10x + -47 Reorder the terms: 10 + 3x = -47 + 10x Solving 10 + 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. 10 + 3x + -10x = -47 + 10x + -10x Combine like terms: 3x + -10x = -7x 10 + -7x = -47 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -7x = -47 + 0 10 + -7x = -47 Add '-10' to each side of the equation. 10 + -10 + -7x = -47 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -47 + -10 -7x = -47 + -10 Combine like terms: -47 + -10 = -57 -7x = -57 Divide each side by '-7'. x = 8.142857143 Simplifying x = 8.142857143
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