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Simplifying 6x + -11 + 47 = 10x + -12 Reorder the terms: -11 + 47 + 6x = 10x + -12 Combine like terms: -11 + 47 = 36 36 + 6x = 10x + -12 Reorder the terms: 36 + 6x = -12 + 10x Solving 36 + 6x = -12 + 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. 36 + 6x + -10x = -12 + 10x + -10x Combine like terms: 6x + -10x = -4x 36 + -4x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 36 + -4x = -12 + 0 36 + -4x = -12 Add '-36' to each side of the equation. 36 + -36 + -4x = -12 + -36 Combine like terms: 36 + -36 = 0 0 + -4x = -12 + -36 -4x = -12 + -36 Combine like terms: -12 + -36 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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