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Simplifying 3x + 47 + 10 = x + 53 Reorder the terms: 47 + 10 + 3x = x + 53 Combine like terms: 47 + 10 = 57 57 + 3x = x + 53 Reorder the terms: 57 + 3x = 53 + x Solving 57 + 3x = 53 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 57 + 3x + -1x = 53 + x + -1x Combine like terms: 3x + -1x = 2x 57 + 2x = 53 + x + -1x Combine like terms: x + -1x = 0 57 + 2x = 53 + 0 57 + 2x = 53 Add '-57' to each side of the equation. 57 + -57 + 2x = 53 + -57 Combine like terms: 57 + -57 = 0 0 + 2x = 53 + -57 2x = 53 + -57 Combine like terms: 53 + -57 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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