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Simplifying 4x + 10 = 52 + -2x Reorder the terms: 10 + 4x = 52 + -2x Solving 10 + 4x = 52 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + 4x + 2x = 52 + -2x + 2x Combine like terms: 4x + 2x = 6x 10 + 6x = 52 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 6x = 52 + 0 10 + 6x = 52 Add '-10' to each side of the equation. 10 + -10 + 6x = 52 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 52 + -10 6x = 52 + -10 Combine like terms: 52 + -10 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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