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Simplifying 2x + 10 = 5x + -47 Reorder the terms: 10 + 2x = 5x + -47 Reorder the terms: 10 + 2x = -47 + 5x Solving 10 + 2x = -47 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 2x + -5x = -47 + 5x + -5x Combine like terms: 2x + -5x = -3x 10 + -3x = -47 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -3x = -47 + 0 10 + -3x = -47 Add '-10' to each side of the equation. 10 + -10 + -3x = -47 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -47 + -10 -3x = -47 + -10 Combine like terms: -47 + -10 = -57 -3x = -57 Divide each side by '-3'. x = 19 Simplifying x = 19
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