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Simplifying 6x + 47 = 2x + 19 Reorder the terms: 47 + 6x = 2x + 19 Reorder the terms: 47 + 6x = 19 + 2x Solving 47 + 6x = 19 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 47 + 6x + -2x = 19 + 2x + -2x Combine like terms: 6x + -2x = 4x 47 + 4x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 47 + 4x = 19 + 0 47 + 4x = 19 Add '-47' to each side of the equation. 47 + -47 + 4x = 19 + -47 Combine like terms: 47 + -47 = 0 0 + 4x = 19 + -47 4x = 19 + -47 Combine like terms: 19 + -47 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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