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Simplifying 6(x + -10) = 10x + -52 Reorder the terms: 6(-10 + x) = 10x + -52 (-10 * 6 + x * 6) = 10x + -52 (-60 + 6x) = 10x + -52 Reorder the terms: -60 + 6x = -52 + 10x Solving -60 + 6x = -52 + 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. -60 + 6x + -10x = -52 + 10x + -10x Combine like terms: 6x + -10x = -4x -60 + -4x = -52 + 10x + -10x Combine like terms: 10x + -10x = 0 -60 + -4x = -52 + 0 -60 + -4x = -52 Add '60' to each side of the equation. -60 + 60 + -4x = -52 + 60 Combine like terms: -60 + 60 = 0 0 + -4x = -52 + 60 -4x = -52 + 60 Combine like terms: -52 + 60 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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