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Simplifying 7x + 27 = 10x + 15 Reorder the terms: 27 + 7x = 10x + 15 Reorder the terms: 27 + 7x = 15 + 10x Solving 27 + 7x = 15 + 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. 27 + 7x + -10x = 15 + 10x + -10x Combine like terms: 7x + -10x = -3x 27 + -3x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + -3x = 15 + 0 27 + -3x = 15 Add '-27' to each side of the equation. 27 + -27 + -3x = 15 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 15 + -27 -3x = 15 + -27 Combine like terms: 15 + -27 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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