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Simplifying 52 + -4x = 10 + -10x Solving 52 + -4x = 10 + -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. 52 + -4x + 10x = 10 + -10x + 10x Combine like terms: -4x + 10x = 6x 52 + 6x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 52 + 6x = 10 + 0 52 + 6x = 10 Add '-52' to each side of the equation. 52 + -52 + 6x = 10 + -52 Combine like terms: 52 + -52 = 0 0 + 6x = 10 + -52 6x = 10 + -52 Combine like terms: 10 + -52 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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