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Simplifying -61 + 6x = 10x + 47 Reorder the terms: -61 + 6x = 47 + 10x Solving -61 + 6x = 47 + 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. -61 + 6x + -10x = 47 + 10x + -10x Combine like terms: 6x + -10x = -4x -61 + -4x = 47 + 10x + -10x Combine like terms: 10x + -10x = 0 -61 + -4x = 47 + 0 -61 + -4x = 47 Add '61' to each side of the equation. -61 + 61 + -4x = 47 + 61 Combine like terms: -61 + 61 = 0 0 + -4x = 47 + 61 -4x = 47 + 61 Combine like terms: 47 + 61 = 108 -4x = 108 Divide each side by '-4'. x = -27 Simplifying x = -27
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