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Simplifying 10x + 19 = 6x + 47 Reorder the terms: 19 + 10x = 6x + 47 Reorder the terms: 19 + 10x = 47 + 6x Solving 19 + 10x = 47 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 19 + 10x + -6x = 47 + 6x + -6x Combine like terms: 10x + -6x = 4x 19 + 4x = 47 + 6x + -6x Combine like terms: 6x + -6x = 0 19 + 4x = 47 + 0 19 + 4x = 47 Add '-19' to each side of the equation. 19 + -19 + 4x = 47 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 47 + -19 4x = 47 + -19 Combine like terms: 47 + -19 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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