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Simplifying 4x + 10 = 3x + 52 Reorder the terms: 10 + 4x = 3x + 52 Reorder the terms: 10 + 4x = 52 + 3x Solving 10 + 4x = 52 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 4x + -3x = 52 + 3x + -3x Combine like terms: 4x + -3x = 1x 10 + 1x = 52 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 1x = 52 + 0 10 + 1x = 52 Add '-10' to each side of the equation. 10 + -10 + 1x = 52 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 52 + -10 1x = 52 + -10 Combine like terms: 52 + -10 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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