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Simplifying 6x + 47 = 10x + -9 Reorder the terms: 47 + 6x = 10x + -9 Reorder the terms: 47 + 6x = -9 + 10x Solving 47 + 6x = -9 + 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. 47 + 6x + -10x = -9 + 10x + -10x Combine like terms: 6x + -10x = -4x 47 + -4x = -9 + 10x + -10x Combine like terms: 10x + -10x = 0 47 + -4x = -9 + 0 47 + -4x = -9 Add '-47' to each side of the equation. 47 + -47 + -4x = -9 + -47 Combine like terms: 47 + -47 = 0 0 + -4x = -9 + -47 -4x = -9 + -47 Combine like terms: -9 + -47 = -56 -4x = -56 Divide each side by '-4'. x = 14 Simplifying x = 14
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