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Simplifying 10x + -27 = 2x + 29 Reorder the terms: -27 + 10x = 2x + 29 Reorder the terms: -27 + 10x = 29 + 2x Solving -27 + 10x = 29 + 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. -27 + 10x + -2x = 29 + 2x + -2x Combine like terms: 10x + -2x = 8x -27 + 8x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 8x = 29 + 0 -27 + 8x = 29 Add '27' to each side of the equation. -27 + 27 + 8x = 29 + 27 Combine like terms: -27 + 27 = 0 0 + 8x = 29 + 27 8x = 29 + 27 Combine like terms: 29 + 27 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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